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Publisher: Elsevier   (Total: 3051 journals)

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Showing 1 - 200 of 3048 Journals sorted alphabetically
A Practical Logic of Cognitive Systems     Full-text available via subscription   (Followers: 7)
AASRI Procedia     Open Access   (Followers: 15)
Academic Pediatrics     Hybrid Journal   (Followers: 24, SJR: 1.402, h-index: 51)
Academic Radiology     Hybrid Journal   (Followers: 22, SJR: 1.008, h-index: 75)
Accident Analysis & Prevention     Partially Free   (Followers: 86, SJR: 1.109, h-index: 94)
Accounting Forum     Hybrid Journal   (Followers: 25, SJR: 0.612, h-index: 27)
Accounting, Organizations and Society     Hybrid Journal   (Followers: 30, SJR: 2.515, h-index: 90)
Achievements in the Life Sciences     Open Access   (Followers: 4)
Acta Anaesthesiologica Taiwanica     Open Access   (Followers: 5, SJR: 0.338, h-index: 19)
Acta Astronautica     Hybrid Journal   (Followers: 358, SJR: 0.726, h-index: 43)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 3)
Acta Biomaterialia     Hybrid Journal   (Followers: 25, SJR: 2.02, h-index: 104)
Acta Colombiana de Cuidado Intensivo     Full-text available via subscription   (Followers: 1)
Acta de Investigación Psicológica     Open Access   (Followers: 2)
Acta Ecologica Sinica     Open Access   (Followers: 8, SJR: 0.172, h-index: 29)
Acta Haematologica Polonica     Free   (SJR: 0.123, h-index: 8)
Acta Histochemica     Hybrid Journal   (Followers: 3, SJR: 0.604, h-index: 38)
Acta Materialia     Hybrid Journal   (Followers: 226, SJR: 3.683, h-index: 202)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5, SJR: 0.615, h-index: 21)
Acta Mechanica Solida Sinica     Full-text available via subscription   (Followers: 9, SJR: 0.442, h-index: 21)
Acta Oecologica     Hybrid Journal   (Followers: 10, SJR: 0.915, h-index: 53)
Acta Otorrinolaringologica (English Edition)     Full-text available via subscription   (Followers: 1)
Acta Otorrinolaringológica Española     Full-text available via subscription   (Followers: 3, SJR: 0.311, h-index: 16)
Acta Pharmaceutica Sinica B     Open Access   (Followers: 1)
Acta Poética     Open Access   (Followers: 4)
Acta Psychologica     Hybrid Journal   (Followers: 24, SJR: 1.365, h-index: 73)
Acta Sociológica     Open Access  
Acta Tropica     Hybrid Journal   (Followers: 6, SJR: 1.059, h-index: 77)
Acta Urológica Portuguesa     Open Access  
Actas Dermo-Sifiliograficas     Full-text available via subscription   (Followers: 4)
Actas Dermo-Sifiliográficas (English Edition)     Full-text available via subscription   (Followers: 3)
Actas Urológicas Españolas     Full-text available via subscription   (Followers: 4, SJR: 0.383, h-index: 19)
Actas Urológicas Españolas (English Edition)     Full-text available via subscription   (Followers: 2)
Actualites Pharmaceutiques     Full-text available via subscription   (Followers: 5, SJR: 0.141, h-index: 3)
Actualites Pharmaceutiques Hospitalieres     Full-text available via subscription   (Followers: 4, SJR: 0.112, h-index: 2)
Acupuncture and Related Therapies     Hybrid Journal   (Followers: 4)
Acute Pain     Full-text available via subscription   (Followers: 13)
Ad Hoc Networks     Hybrid Journal   (Followers: 11, SJR: 0.967, h-index: 57)
Addictive Behaviors     Hybrid Journal   (Followers: 15, SJR: 1.514, h-index: 92)
Addictive Behaviors Reports     Open Access   (Followers: 6)
Additive Manufacturing     Hybrid Journal   (Followers: 7, SJR: 1.039, h-index: 5)
Additives for Polymers     Full-text available via subscription   (Followers: 21)
Advanced Drug Delivery Reviews     Hybrid Journal   (Followers: 133, SJR: 5.2, h-index: 222)
Advanced Engineering Informatics     Hybrid Journal   (Followers: 11, SJR: 1.265, h-index: 53)
Advanced Powder Technology     Hybrid Journal   (Followers: 17, SJR: 0.739, h-index: 33)
Advances in Accounting     Hybrid Journal   (Followers: 9, SJR: 0.299, h-index: 15)
Advances in Agronomy     Full-text available via subscription   (Followers: 15, SJR: 2.071, h-index: 82)
Advances in Anesthesia     Full-text available via subscription   (Followers: 26, SJR: 0.169, h-index: 4)
Advances in Antiviral Drug Design     Full-text available via subscription   (Followers: 3)
Advances in Applied Mathematics     Full-text available via subscription   (Followers: 6, SJR: 1.054, h-index: 35)
Advances in Applied Mechanics     Full-text available via subscription   (Followers: 11, SJR: 0.801, h-index: 26)
Advances in Applied Microbiology     Full-text available via subscription   (Followers: 22, SJR: 1.286, h-index: 49)
Advances In Atomic, Molecular, and Optical Physics     Full-text available via subscription   (Followers: 16, SJR: 3.31, h-index: 42)
Advances in Biological Regulation     Hybrid Journal   (Followers: 4, SJR: 2.277, h-index: 43)
Advances in Botanical Research     Full-text available via subscription   (Followers: 3, SJR: 0.619, h-index: 48)
Advances in Cancer Research     Full-text available via subscription   (Followers: 25, SJR: 2.215, h-index: 78)
Advances in Carbohydrate Chemistry and Biochemistry     Full-text available via subscription   (Followers: 9, SJR: 0.9, h-index: 30)
Advances in Catalysis     Full-text available via subscription   (Followers: 5, SJR: 2.139, h-index: 42)
Advances in Cell Aging and Gerontology     Full-text available via subscription   (Followers: 4)
Advances in Cellular and Molecular Biology of Membranes and Organelles     Full-text available via subscription   (Followers: 12)
Advances in Chemical Engineering     Full-text available via subscription   (Followers: 27, SJR: 0.183, h-index: 23)
Advances in Child Development and Behavior     Full-text available via subscription   (Followers: 10, SJR: 0.665, h-index: 29)
Advances in Chronic Kidney Disease     Full-text available via subscription   (Followers: 9, SJR: 1.268, h-index: 45)
Advances in Clinical Chemistry     Full-text available via subscription   (Followers: 29, SJR: 0.938, h-index: 33)
Advances in Colloid and Interface Science     Full-text available via subscription   (Followers: 18, SJR: 2.314, h-index: 130)
Advances in Computers     Full-text available via subscription   (Followers: 16, SJR: 0.223, h-index: 22)
Advances in Dermatology     Full-text available via subscription   (Followers: 12)
Advances in Developmental Biology     Full-text available via subscription   (Followers: 11)
Advances in Digestive Medicine     Open Access   (Followers: 6)
Advances in DNA Sequence-Specific Agents     Full-text available via subscription   (Followers: 5)
Advances in Drug Research     Full-text available via subscription   (Followers: 22)
Advances in Ecological Research     Full-text available via subscription   (Followers: 43, SJR: 3.25, h-index: 43)
Advances in Engineering Software     Hybrid Journal   (Followers: 25, SJR: 0.486, h-index: 10)
Advances in Experimental Biology     Full-text available via subscription   (Followers: 7)
Advances in Experimental Social Psychology     Full-text available via subscription   (Followers: 42, SJR: 5.465, h-index: 64)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 3)
Advances in Fluorine Science     Full-text available via subscription   (Followers: 8)
Advances in Food and Nutrition Research     Full-text available via subscription   (Followers: 50, SJR: 0.674, h-index: 38)
Advances in Fuel Cells     Full-text available via subscription   (Followers: 16)
Advances in Genetics     Full-text available via subscription   (Followers: 15, SJR: 2.558, h-index: 54)
Advances in Genome Biology     Full-text available via subscription   (Followers: 11)
Advances in Geophysics     Full-text available via subscription   (Followers: 6, SJR: 2.325, h-index: 20)
Advances in Heat Transfer     Full-text available via subscription   (Followers: 22, SJR: 0.906, h-index: 24)
Advances in Heterocyclic Chemistry     Full-text available via subscription   (Followers: 9, SJR: 0.497, h-index: 31)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 26)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2, SJR: 0.396, h-index: 27)
Advances in Immunology     Full-text available via subscription   (Followers: 36, SJR: 4.152, h-index: 85)
Advances in Inorganic Chemistry     Full-text available via subscription   (Followers: 9, SJR: 1.132, h-index: 42)
Advances in Insect Physiology     Full-text available via subscription   (Followers: 3, SJR: 1.274, h-index: 27)
Advances in Integrative Medicine     Hybrid Journal   (Followers: 6)
Advances in Intl. Accounting     Full-text available via subscription   (Followers: 4)
Advances in Life Course Research     Hybrid Journal   (Followers: 8, SJR: 0.764, h-index: 15)
Advances in Lipobiology     Full-text available via subscription   (Followers: 2)
Advances in Magnetic and Optical Resonance     Full-text available via subscription   (Followers: 9)
Advances in Marine Biology     Full-text available via subscription   (Followers: 16, SJR: 1.645, h-index: 45)
Advances in Mathematics     Full-text available via subscription   (Followers: 10, SJR: 3.261, h-index: 65)
Advances in Medical Sciences     Hybrid Journal   (Followers: 6, SJR: 0.489, h-index: 25)
Advances in Medicinal Chemistry     Full-text available via subscription   (Followers: 5)
Advances in Microbial Physiology     Full-text available via subscription   (Followers: 4, SJR: 1.44, h-index: 51)
Advances in Molecular and Cell Biology     Full-text available via subscription   (Followers: 22)
Advances in Molecular and Cellular Endocrinology     Full-text available via subscription   (Followers: 10)
Advances in Molecular Toxicology     Full-text available via subscription   (Followers: 8, SJR: 0.324, h-index: 8)
Advances in Nanoporous Materials     Full-text available via subscription   (Followers: 4)
Advances in Oncobiology     Full-text available via subscription   (Followers: 3)
Advances in Organ Biology     Full-text available via subscription   (Followers: 2)
Advances in Organometallic Chemistry     Full-text available via subscription   (Followers: 15, SJR: 2.885, h-index: 45)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7, SJR: 0.148, h-index: 11)
Advances in Parasitology     Full-text available via subscription   (Followers: 7, SJR: 2.37, h-index: 73)
Advances in Pediatrics     Full-text available via subscription   (Followers: 24, SJR: 0.4, h-index: 28)
Advances in Pharmaceutical Sciences     Full-text available via subscription   (Followers: 13)
Advances in Pharmacology     Full-text available via subscription   (Followers: 15, SJR: 1.718, h-index: 58)
Advances in Physical Organic Chemistry     Full-text available via subscription   (Followers: 8, SJR: 0.384, h-index: 26)
Advances in Phytomedicine     Full-text available via subscription  
Advances in Planar Lipid Bilayers and Liposomes     Full-text available via subscription   (Followers: 3, SJR: 0.248, h-index: 11)
Advances in Plant Biochemistry and Molecular Biology     Full-text available via subscription   (Followers: 8)
Advances in Plant Pathology     Full-text available via subscription   (Followers: 5)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Protein Chemistry     Full-text available via subscription   (Followers: 17)
Advances in Protein Chemistry and Structural Biology     Full-text available via subscription   (Followers: 20, SJR: 1.5, h-index: 62)
Advances in Psychology     Full-text available via subscription   (Followers: 62)
Advances in Quantum Chemistry     Full-text available via subscription   (Followers: 5, SJR: 0.478, h-index: 32)
Advances in Radiation Oncology     Open Access  
Advances in Small Animal Medicine and Surgery     Hybrid Journal   (Followers: 2, SJR: 0.1, h-index: 2)
Advances in Space Biology and Medicine     Full-text available via subscription   (Followers: 5)
Advances in Space Research     Full-text available via subscription   (Followers: 362, SJR: 0.606, h-index: 65)
Advances in Structural Biology     Full-text available via subscription   (Followers: 8)
Advances in Surgery     Full-text available via subscription   (Followers: 7, SJR: 0.823, h-index: 27)
Advances in the Study of Behavior     Full-text available via subscription   (Followers: 30, SJR: 1.321, h-index: 56)
Advances in Veterinary Medicine     Full-text available via subscription   (Followers: 16)
Advances in Veterinary Science and Comparative Medicine     Full-text available via subscription   (Followers: 13)
Advances in Virus Research     Full-text available via subscription   (Followers: 5, SJR: 1.878, h-index: 68)
Advances in Water Resources     Hybrid Journal   (Followers: 43, SJR: 2.408, h-index: 94)
Aeolian Research     Hybrid Journal   (Followers: 5, SJR: 0.973, h-index: 22)
Aerospace Science and Technology     Hybrid Journal   (Followers: 326, SJR: 0.816, h-index: 49)
AEU - Intl. J. of Electronics and Communications     Hybrid Journal   (Followers: 8, SJR: 0.318, h-index: 36)
African J. of Emergency Medicine     Open Access   (Followers: 5, SJR: 0.344, h-index: 6)
Ageing Research Reviews     Hybrid Journal   (Followers: 8, SJR: 3.289, h-index: 78)
Aggression and Violent Behavior     Hybrid Journal   (Followers: 411, SJR: 1.385, h-index: 72)
Agri Gene     Hybrid Journal  
Agricultural and Forest Meteorology     Hybrid Journal   (Followers: 16, SJR: 2.18, h-index: 116)
Agricultural Systems     Hybrid Journal   (Followers: 30, SJR: 1.275, h-index: 74)
Agricultural Water Management     Hybrid Journal   (Followers: 40, SJR: 1.546, h-index: 79)
Agriculture and Agricultural Science Procedia     Open Access  
Agriculture and Natural Resources     Open Access   (Followers: 1)
Agriculture, Ecosystems & Environment     Hybrid Journal   (Followers: 54, SJR: 1.879, h-index: 120)
Ain Shams Engineering J.     Open Access   (Followers: 5, SJR: 0.434, h-index: 14)
Air Medical J.     Hybrid Journal   (Followers: 5, SJR: 0.234, h-index: 18)
AKCE Intl. J. of Graphs and Combinatorics     Open Access   (SJR: 0.285, h-index: 3)
Alcohol     Hybrid Journal   (Followers: 11, SJR: 0.922, h-index: 66)
Alcoholism and Drug Addiction     Open Access   (Followers: 8)
Alergologia Polska : Polish J. of Allergology     Full-text available via subscription   (Followers: 1)
Alexandria Engineering J.     Open Access   (Followers: 1, SJR: 0.436, h-index: 12)
Alexandria J. of Medicine     Open Access   (Followers: 1)
Algal Research     Partially Free   (Followers: 8, SJR: 2.05, h-index: 20)
Alkaloids: Chemical and Biological Perspectives     Full-text available via subscription   (Followers: 3)
Allergologia et Immunopathologia     Full-text available via subscription   (Followers: 1, SJR: 0.46, h-index: 29)
Allergology Intl.     Open Access   (Followers: 4, SJR: 0.776, h-index: 35)
Alpha Omegan     Full-text available via subscription   (SJR: 0.121, h-index: 9)
ALTER - European J. of Disability Research / Revue Européenne de Recherche sur le Handicap     Full-text available via subscription   (Followers: 9, SJR: 0.158, h-index: 9)
Alzheimer's & Dementia     Hybrid Journal   (Followers: 46, SJR: 4.289, h-index: 64)
Alzheimer's & Dementia: Diagnosis, Assessment & Disease Monitoring     Open Access   (Followers: 4)
Alzheimer's & Dementia: Translational Research & Clinical Interventions     Open Access   (Followers: 4)
Ambulatory Pediatrics     Hybrid Journal   (Followers: 5)
American Heart J.     Hybrid Journal   (Followers: 49, SJR: 3.157, h-index: 153)
American J. of Cardiology     Hybrid Journal   (Followers: 47, SJR: 2.063, h-index: 186)
American J. of Emergency Medicine     Hybrid Journal   (Followers: 40, SJR: 0.574, h-index: 65)
American J. of Geriatric Pharmacotherapy     Full-text available via subscription   (Followers: 9, SJR: 1.091, h-index: 45)
American J. of Geriatric Psychiatry     Hybrid Journal   (Followers: 14, SJR: 1.653, h-index: 93)
American J. of Human Genetics     Hybrid Journal   (Followers: 32, SJR: 8.769, h-index: 256)
American J. of Infection Control     Hybrid Journal   (Followers: 26, SJR: 1.259, h-index: 81)
American J. of Kidney Diseases     Hybrid Journal   (Followers: 32, SJR: 2.313, h-index: 172)
American J. of Medicine     Hybrid Journal   (Followers: 46, SJR: 2.023, h-index: 189)
American J. of Medicine Supplements     Full-text available via subscription   (Followers: 3)
American J. of Obstetrics and Gynecology     Hybrid Journal   (Followers: 200, SJR: 2.255, h-index: 171)
American J. of Ophthalmology     Hybrid Journal   (Followers: 59, SJR: 2.803, h-index: 148)
American J. of Ophthalmology Case Reports     Open Access   (Followers: 6)
American J. of Orthodontics and Dentofacial Orthopedics     Full-text available via subscription   (Followers: 6, SJR: 1.249, h-index: 88)
American J. of Otolaryngology     Hybrid Journal   (Followers: 25, SJR: 0.59, h-index: 45)
American J. of Pathology     Hybrid Journal   (Followers: 26, SJR: 2.653, h-index: 228)
American J. of Preventive Medicine     Hybrid Journal   (Followers: 24, SJR: 2.764, h-index: 154)
American J. of Surgery     Hybrid Journal   (Followers: 35, SJR: 1.286, h-index: 125)
American J. of the Medical Sciences     Hybrid Journal   (Followers: 12, SJR: 0.653, h-index: 70)
Ampersand : An Intl. J. of General and Applied Linguistics     Open Access   (Followers: 5)
Anaerobe     Hybrid Journal   (Followers: 4, SJR: 1.066, h-index: 51)
Anaesthesia & Intensive Care Medicine     Full-text available via subscription   (Followers: 58, SJR: 0.124, h-index: 9)
Anaesthesia Critical Care & Pain Medicine     Full-text available via subscription   (Followers: 12)
Anales de Cirugia Vascular     Full-text available via subscription  
Anales de Pediatría     Full-text available via subscription   (Followers: 2, SJR: 0.209, h-index: 27)
Anales de Pediatría (English Edition)     Full-text available via subscription  
Anales de Pediatría Continuada     Full-text available via subscription   (SJR: 0.104, h-index: 3)
Analytic Methods in Accident Research     Hybrid Journal   (Followers: 4, SJR: 2.577, h-index: 7)
Analytica Chimica Acta     Hybrid Journal   (Followers: 37, SJR: 1.548, h-index: 152)
Analytical Biochemistry     Hybrid Journal   (Followers: 165, SJR: 0.725, h-index: 154)
Analytical Chemistry Research     Open Access   (Followers: 8, SJR: 0.18, h-index: 2)
Analytical Spectroscopy Library     Full-text available via subscription   (Followers: 12)
Anesthésie & Réanimation     Full-text available via subscription   (Followers: 1)
Anesthesiology Clinics     Full-text available via subscription   (Followers: 23, SJR: 0.421, h-index: 40)
Angiología     Full-text available via subscription   (SJR: 0.124, h-index: 9)
Angiologia e Cirurgia Vascular     Open Access  
Animal Behaviour     Hybrid Journal   (Followers: 168, SJR: 1.907, h-index: 126)

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Journal Cover Acta Mathematica Scientia
  [SJR: 0.615]   [H-I: 21]   [5 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0252-9602
   Published by Elsevier Homepage  [3051 journals]
  • Stochastic heat equation with fractional Laplacian and fractional noise:
           existence of the solution and analysis of its density
    • Authors: Junfeng LIU; Ciprian A. TUDOR
      Pages: 1545 - 1566
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Junfeng LIU, Ciprian A. TUDOR
      In this paper we study a fractional stochastic heat equation on R d ( d   ≥   1 ) with additive noise ∂ ∂ t u ( t , x ) = d δ _ α _ u ( t , x ) + b ( u ( t , x ) ) + W ˙ H ( t , x ) where d δ _ α _ is a nonlocal fractional differential operator and W ˙ H is a Gaussian-colored noise. We show the existence and the uniqueness of the mild solution for this equation. In addition, in the case of space dimension d=1, we prove the existence of the density for this solution and we establish lower and upper Gaussian bounds for the density by Malliavin calculus.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30091-7
       
  • Duality of generalized Dunkl-Lipschitz spaces
    • Authors: Samir KALLEL
      Pages: 1567 - 1593
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Samir KALLEL
      The aim of this paper is to prove duality and reflexivity of generalized Lipschitz spaces Λ α , p , q k ( R ) , α   ∈   R and 1   ≤   p ,   q   ≤   ∞ , in the context of Dunkl harmonic analysis.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30092-9
       
  • Determining the discriminating domain for hybrid linear differential game
           with two players and two targets
    • Authors: Yanli HAN; Yan GAO
      Pages: 1594 - 1606
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Yanli HAN, Yan GAO
      This paper studies a bounded discriminating domain for hybrid linear differential game with two players and two targets using viability theory. First of all, we prove that the convex hull of a closed set is also a discriminating domain if the set is a discriminating domain. Secondly, in order to determine that a bounded polyhedron is a discriminating domain, we give a result that it only needs to verify that the extreme points of the polyhedron meet the viability conditions. The difference between our result and the existing ones is that our result just needs to verify the finite points (extreme points) and the existing ones need to verify all points in the bounded polyhedron.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30093-0
       
  • Decay rate of Fourier transforms of some self-similar measures
    • Authors: Xiang GAO; Jihua MA
      Pages: 1607 - 1618
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Xiang GAO, Jihua MA
      This paper is concerned with the Diophantine properties of the sequence { ξ θ n } , where 1   ≤     ξ   <   θ and θ is a rational or an algebraic integer. We establish a combinatorial proposition which can be used to study such two cases in the same manner. It is shown that the decay rate of the Fourier transforms of self-similar measures μ λ with λ   =   θ - 1 as the uniform contractive ratio is logarithmic. This generalizes some results of Kershner and Bufetov-Solomyak, who consider the case of Bernoulli convolutions. As an application, we prove that μ λ almost every x is normal to any base b ≥ 2, which implies that there exist infinitely many absolute normal numbers on the corresponding self-similar set. This can be seen as a complementary result of the well-known Cassels-Schmidt theorem.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30094-2
       
  • A new perturbation theorem for Moore-Penrose metric generalized inverse of
           bounded linear operators in Banach spaces
    • Authors: Zi WANG; Yuwen WANG
      Pages: 1619 - 1631
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Zi WANG, Yuwen WANG
      In this paper, we investigate a new perturbation theorem for the Moore-Penrose metric generalized inverses of a bounded linear operator in Banach space. The main tool in this paper is “the generalized Neumann lemma” which is quite different from the method in [12] where “the generalized Banach lemma” was used. By the method of the perturbation analysis of bounded linear operators, we obtain an explicit perturbation theorem and three inequalities about error estimates for the Moore-Penrose metric generalized inverse of bounded linear operator under the generalized Neumann lemma and the concept of stable perturbations in Banach spaces.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30095-4
       
  • Blow-up criterion of classical solutions for the incompressible nematic
           liquid crystal flows
    • Authors: Zhensheng GAO; Zhong TAN
      Pages: 1632 - 1638
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Zhensheng GAO, Zhong TAN
      In this paper, we consider the short time classical solution to a simplified hydrodynamic flow modeling incompressible, nematic liquid crystal materials in R 3 . We establish a criterion for possible breakdown of such solutions at a finite time. More precisely, if (u,d) is smooth up to time T provided that ∫ 0 T ∇   ×   u ( t , ⋅ ) B M O ( R 3 ) + ∇   d ( t , ⋅ ) L 4 ( R 3 ) 8 d t   <   ∞ .

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30096-6
       
  • Lower bounds of Dirichlet eigenvalues for a class of finitely degenerate
           Grushin type elliptic operators
    • Authors: Hua CHEN; Hongge CHEN; Yirui DUAN; Xin HU
      Pages: 1653 - 1664
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Hua CHEN, Hongge CHEN, Yirui DUAN, Xin HU
      Let Ω be a bounded open domain in R n with smooth boundary ∂Ω, X   =   ( X 1 , X 2 , ⋯ , X m ) be a system of real smooth vector fields defined on Ω and the boundary ∂Ω is non-characteristic for X. If X satisfies the Hörmander's condition, then the vector field is finitely degenerate and the sum of square operator Δ X = ∑ j = 1 m X j 2 is a finitely degenerate elliptic operator. In this paper, we shall study the sharp estimate of the Dirichlet eigenvalue for a class of general Grushin type degenerate elliptic operators ΔX on Ω.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30098-x
       
  • Multiple symmetric results for a class of biharmonic elliptic systems with
           critical homogeneous nonlinearity in RN
    • Authors: Zhiying DENG; Yisheng HUANG
      Pages: 1665 - 1684
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Zhiying DENG, Yisheng HUANG
      This paper is dedicated to studying the existence and multiplicity of symmetric solutions for a class of biharmonic elliptic systems with critical homogeneous nonlinearity in R N . By virtue of variational methods and the symmetric criticality principle of Palais, we establish several existence and multiplicity results of G-symmetric solutions under certain appropriate hypotheses on the parameters and the weighted functions.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30099-1
       
  • Riccati-type result for meromorphic solutions of systems of composite
           functional equations
    • Authors: Lingyun GAO; Manli LIU
      Pages: 1685 - 1694
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Lingyun GAO, Manli LIU
      By use of Nevanlinna value distribution theory, we will investigate the properties of meromorphic solutions of two types of systems of composite functional equations and obtain some results. One of the results we get is about both components of meromorphic solutions on the system of composite functional equations satisfying Riccati differential equation, the other one is property of meromorphic solutions of the other system of composite functional equations while restricting the growth.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30100-5
       
  • Hyponormality of block Toeplitz operators on the weighted Bergman spaces
    • Authors: Jongrak LEE
      Pages: 1695 - 1704
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Jongrak LEE
      In this paper we consider the block Toeplitz operators T Phi on the weighted Bergman space A α 2 ( D ,   C n ) and we give a necessary and sufficient condition for the hyponormality of block Toeplitz operators with symbol in the class of functions Φ = F + G * with matrix-valued polynomial functions F and G with degree 2.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30101-7
       
  • Flip and N-S bifurcation behavior of a predator-prey model with piecewise
           constant arguments and time delay
    • Authors: Suiming SHANG; Yu TIAN; Yajing ZHANG
      Pages: 1705 - 1726
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Suiming SHANG, Yu TIAN, Yajing ZHANG
      In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30102-9
       
  • On hyperstability of the biadditive functional equation
    • Authors: Iz-iddine EL-FASSI; Janusz BRZDĘK; Abdellatif CHAHBI; Samir KABBAJ
      Pages: 1727 - 1739
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Iz-iddine EL-FASSI, Janusz BRZDĘK, Abdellatif CHAHBI, Samir KABBAJ
      We present results on approximate solutions to the biadditive equation f ( x + y ,   z - w ) + f ( x - y ,   z + w ) = 2 f ( x , z ) - 2 f ( y , w ) on a restricted domain. The proof is based on a quite recent fixed point theorem in some function spaces. Our main results state that, under some weak natural assumptions, functions satisfying the equation approximately (in some sense) must be actually solutions to it. In this way we obtain inequalities characterizing biadditive mappings and inner product spaces. Our outcomes are connected with the well known issues of Ulam stability and hyperstability.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30103-0
       
  • Discontinuous traveling wave entropy solutions of a modified Allen-Cahn
           model
    • Authors: Tianyuan XU; Chunhua JIN; Shanming JI
      Pages: 1740 - 1760
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Tianyuan XU, Chunhua JIN, Shanming JI
      This paper deals with the existence and the asymptotic behavior of discontinuous traveling wave entropy solutions for a modified Allen-Cahn model, in which, the usual Ficken-based model for phase transition is replaced with a more physical model with nonlinear diffusive flux. The discontinuous traveling waves correspond to the discontinuous phase transition phenomena.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30104-2
       
  • Another characterizations of Muckenhoupt Ap class
    • Authors: Dinghuai WANG; Jiang ZHOU; Wenyi CHEN
      Pages: 1761 - 1774
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Dinghuai WANG, Jiang ZHOU, Wenyi CHEN
      This manuscript addresses Muckenhoupt A p weight theory in connection to Morrey and BMO spaces. It is proved that ω belongs to Muckenhoupt A p class, if and only if Hardy-Littlewood maximal function M is bounded from weighted Lebesgue spaces L p(ω) to weighted Morrey spaces M q p ( ω ) for 1 < q < p < ∞. As a corollary, if M is (weak) bounded on M q p ( ω ) , then ω ∈ A p. The A p condition also characterizes the boundedness of the Riesz transform R j and convolution operators T ɛ on weighted Morrey spaces. Finally, we show that ω ∈ A p if and only if ω   ∈ B M O p ′ ( ω ) for 1 ≤ p < ∞ and 1/p+1/p′=1.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30105-4
       
  • Large time behavior of solutions to the perturbed Hasegawa-Mima equation
    • Authors: Lijuan WANG
      Pages: 1775 - 1790
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Lijuan WANG
      The large time behavior of solutions to the two-dimensional perturbed Hasegawa-Mima equation with large initial data is studied in this paper. Based on the time-frequency decomposition and the method of Green function, we not only obtain the optimal decay rate but also establish the pointwise estimate of global classical solutions.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30106-6
       
  • The equivalent characterization of F(p,q,s) space on bounded symmetric
           domains of Cn*
    • Authors: Shenlian LI; Xuejun ZHANG; Si XU
      Pages: 1791 - 1802
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Shenlian LI, Xuejun ZHANG, Si XU
      Let Ω be a bounded symmetric domain in Cn. The purpose of this article is to define and characterize the general function space F(p,q,s) on Ω. Characterizing functions in the F(p,q,s) space is a work of considerable interest nowadays. In this article, the authors give several equivalent descriptions of the functions in the F(p,q,s) space on Ω in terms of fractional differential operators. At the same time, the authors give the relationship between F(p,q,s) space and Bloch type space on Ω too.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30107-8
       
  • Solitary wave and periodic wave solutions for the non-Newtonian filtration
           equations with nonlinear sources and a time-varying delay
    • Authors: Fanchao KONG; Zhiguo LUO
      Pages: 1803 - 1816
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Fanchao KONG, Zhiguo LUO
      This paper is concerned with the non-Newtonian filtration equations with nonlinear sources and a time-varying delay. By an extension of Mawhin's continuation theorem and some analysis methods, several sufficient conditions ensuring the existence of solitary wave and periodic wave solutions are obtained. Some corresponding results in the literature are improved and extended. An example is given to illustrate the effectiveness of our results.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30108-x
       
  • The generalized Roper-Suffridge operator on the unit ball in complex
           Banach and Hilbert spaces
    • Authors: Yanyan CUI; Chaojun WANG; Hao LIU
      Pages: 1817 - 1829
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Yanyan CUI, Chaojun WANG, Hao LIU
      In this paper, we extend the Roper-Suffridge extension operator in complex Banach space, and prove that the extended Roper-Suffridge operators preserve the properties of the subclasses of spirallike mappings on the unit ball in complex Banach spaces. Thereby, we promote the conclusions to the cases in complex Hilbert spaces. The conclusions provide new approaches to construct these subclasses of spirallike mappings in several complex variables.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30109-1
       
  • Properties of difference Painlevé IV equations
    • Authors: Shuangting LAN; Zongxuan CHEN
      Pages: 1830 - 1840
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Shuangting LAN, Zongxuan CHEN
      In this paper, we investigate difference Painlevé IV equations, and obtain some results on Nevanlinna exceptional values of transcendental meromorphic solutions w(z) with finite order, their differences Δ w ( z ) = w ( z + 1 ) - w ( z ) and divided differences Δ w ( z ) w ( z ) .

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30110-8
       
  • Uniform Hölder estimates for a type of nonlinear elliptic equations with
           rapidly oscillatory coefficients
    • Authors: Rong DONG; Dongsheng LI
      Pages: 1841 - 1860
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Rong DONG, Dongsheng LI
      In this paper, a type of nonlinear elliptic equations with rapidly oscillatory coefficients is investigated. By compactness methods, we show uniform Hölder estimates of solutions in a C 1 bounded domain.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30111-x
       
  • The integration of algebroidal functions
    • Authors: Daochun SUN; Yingying HUO; Yinying KONG; Fujie CHAI
      Pages: 1861 - 1869
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Daochun SUN, Yingying HUO, Yinying KONG, Fujie CHAI
      In this paper, we introduce the integration of algebroidal functions on Riemann surfaces for the first time. Some properties of integration are obtained. By giving the definition of residues and integral function element, we obtain the condition that the integral is independent of path. At last, we prove that the integral of an irreducible algebroidal function is also an irreducible algebroidal function if all the residues at critical points are zeros.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30112-1
       
  • Existence of nontrivial solutions for generalized quasilinear Schrödinger
           equations with critical or supercritical growths
    • Authors: Quanqing LI; Xian WU
      Pages: 1870 - 1880
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Quanqing LI, Xian WU
      In this paper, we study the following generalized quasilinear Schrödinger equations with critical or supercritical growths - div ( g 2 ( u ) ∇ u ) + g ( u ) g ′ ( u ) ∇ u 2 + V ( x ) u = f ( x , u ) + λ u p - 2 u ,   x   ∈   R N , where λ   >   0 ,   N   ≥   3 ,   g :   R → R + is a C 1 even function, g ( 0 ) = 1 ,   g ′ ( s ) ≥ 0 for all s   ≥   0 ,   lim s → + ∞ g ( s ) s α - 1 : β   >   0 for some α ≥ 1 and ( α - 1 ) g ( s )   >   g ′ ( s ) s for all s > 0 and p ≥ α2*. Under some suitable conditions, we prove that the equation has a nontrivial solution for small λ > 0 using a change of variables and variational method.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30113-3
       
  • Zero dissipation limit to a Riemann solution for the compressible
           Navier-Stokes system of general gas
    • Authors: Hakho HONG; Teng WANG
      Pages: 1177 - 1208
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Hakho HONG, Teng WANG
      For the general gas including ideal polytropic gas, we study the zero dissipation limit problem of the full 1-D compressible Navier-Stokes equations toward the superposition of contact discontinuity and two rarefaction waves. In the case of both smooth and Riemann initial data, we show that if the solutions to the corresponding Euler system consist of the composite wave of two rarefaction wave and contact discontinuity, then there exist solutions to Navier-Stokes equations which converge to the Riemman solutions away from the initial layer with a decay rate in any fixed time interval as the viscosity and the heat-conductivity coefficients tend to zero. The proof is based on scaling arguments, the construction of the approximate profiles and delicate energy estimates. Notice that we have no need to restrict the strengths of the contact discontinuity and rarefaction waves to be small.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30067-x
       
  • On a generalized geometric constant and sufficient conditions for normal
           structure in Banach spaces
    • Authors: Mina DINARVAND
      Pages: 1209 - 1220
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Mina DINARVAND
      In this paper, we introduce a new geometric constant C N J ( p ) ( a , X ) of a Banach space X, which is closely related to the generalized von Neumann-Jordan constant and analyze some properties of the constant. Subsequently, we present several sufficient conditions for normal structure of a Banach space in terms of this new constant, the generalized James constant, the generalized García-Falset coefficient and the coefficient of weak orthogonality of Sims. Our main results of the paper generalize some known results in the recent literature.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30068-1
       
  • Szegö type factorization of Haagerup noncommutative Hardy spaces
    • Authors: Turdebek N. Bekjan
      Pages: 1221 - 1229
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Turdebek N. Bekjan
      Let M be a σ-finite von Neumann algebra equipped with a normal faithful state φ, and let A be a maximal subdiagonal algebra of M. We proved a Szegö type factorization theorem for the Haagerup noncommutative Hp-spaces.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30069-3
       
  • The Vlasov-Maxwell-Fokker-Planck system with relativistic transport in the
           whole space
    • Authors: Dongcheng YANG
      Pages: 1237 - 1261
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Dongcheng YANG
      In this paper, we consider the Vlasov-Maxwell-Fokker-Planck system with relativistic transport in the whole space. The global solutions to this system near the relativistic Maxwellian are constructed and the optimal time decay rate of global solutions are also obtained by an approach by combining the compensating function and energy method.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30071-1
       
  • Smoothing Newton algorithm for the circular cone programming with a
           nonmonotone line search
    • Authors: Xiaoni CHI; Hongjin WEI; Zhongping WAN; Zhibin ZHU
      Pages: 1262 - 1280
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Xiaoni CHI, Hongjin WEI, Zhongping WAN, Zhibin ZHU
      In this paper, we present a nonmonotone smoothing Newton algorithm for solving the circular cone programming (CCP) problem in which a linear function is minimized or maximized over the intersection of an affine space with the circular cone. Based on the relationship between the circular cone and the second-order cone (SOC), we reformulate the CCP problem as the second-order cone problem (SOCP). By extending the nonmonotone line search for unconstrained optimization to the CCP, a nonmonotone smoothing Newton method is proposed for solving the CCP. Under suitable assumptions, the proposed algorithm is shown to be globally and locally quadratically convergent. Some preliminary numerical results indicate the effectiveness of the proposed algorithm for solving the CCP.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30072-3
       
  • Average regularity of the solution to an equation with the
           relativistic-free transport operator
    • Authors: Jianjun HUANG
      Pages: 1281 - 1294
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Jianjun HUANG
      Let u = u(t,x, p) satisfy the transport equation ∂ u ∂ t + P p 0 ∂ ∂ x = , where f=f(t, x,p) belongs to Lp ((0,T)× R 3 × R 3) for 1< p <∞ and ∂ ∂ t + P p 0 ∂ ∂ x is the relativistic-free transport operator from the relativistic Boltzmann equation. We show the regularity of ∫ R 3 u ( t , x , p ) d p using the same method as given by Golse, Lions, Perthame and Sentis. This average regularity is considered in terms of fractional Sobolev spaces and it is very useful for the study of the existence of the solution to the Cauchy problem on the relativistic Boltzmann equation.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30073-5
       
  • Globally attracting solutions to impulsive fractional differential
           inclusions of Sobolev type
    • Authors: Van Hien LE; Dinh Ke TRAN; Trong Kinh CHU
      Pages: 1295 - 1318
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Van Hien LE, Dinh Ke TRAN, Trong Kinh CHU
      We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting solutions to the problem in question. An application to fractional partial differential equations subject to impulsive effects is given to illustrate our results.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30074-7
       
  • Complete moment convergence for Lp-mixingales
    • Authors: Dehua QIU; Pingyan CHEN; Volodin ANDREI
      Pages: 1319 - 1330
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Dehua QIU, Pingyan CHEN, Volodin ANDREI
      In this paper, the complete moment convergence for L p -mixingales are studied. Sufficient conditions are given for the complete moment convergence for the maximal partial sums of B-valued Lp -mixingales by utilizing the Rosenthal maximal type inequality for B-valued martingale difference sequence, which extend and improve the related known works in the literature.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30075-9
       
  • Local and parallel finite element method for the mixed Navier-Stokes/Darcy
           model with Beavers-Joseph interface conditions
    • Authors: Guangzhi DU; Liyun ZUO
      Pages: 1331 - 1347
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Guangzhi DU, Liyun ZUO
      In this paper, we consider the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions. Based on two-grid discretizations, a local and parallel finite element algorithm for this mixed model is proposed and analyzed. Optimal errors are obtained and numerical experiments are presented to show the efficiency and effectiveness of the local and parallel finite element algorithm.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30076-0
       
  • Existence result for a class of N-Laplacian equations involving critical
           growth
    • Authors: Guoqing ZHANG; Weiguo ZHANG; Sanyang LIU
      Pages: 1348 - 1360
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Guoqing ZHANG, Weiguo ZHANG, Sanyang LIU
      In this paper, we consider a class of N-Laplacian equations involving critical growth { - Δ N u = λ u N - 2 u + f ( x , u ) ,             x ∈ Ω , u ∈ W 0 1 , N ( Ω ) ,                 u ( x ) ≥ 0 ,                         x ∈ Ω , where Ω is a bounded domain with smooth boundary in ℝ N (N >2), f (x, u) is of critical growth. Based on the Trudinger-Moser inequality and a nonstandard linking theorem introduced by Degiovanni and Lancelotti, we prove the existence of a nontrivial solution for any λ > λ1, λ≠λℓ (ℓ = 2,3,ċċċ), and λℓ is the eigenvalues of the operator ( - Δ N , W 0 1 , N ( Ω ) ) , which is defined by the ℤ2-cohomological index.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30077-2
       
  • Existence and uniqueness of the weak solution to the incompressible
           Navier-Stokes-Landau-Lifshitz model in 2-dimension
    • Authors: Guangwu WANG; Boling GUO
      Pages: 1361 - 1372
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Guangwu WANG, Boling GUO
      In this paper, we prove the existence and uniqueness of the weak solution to the incompressible Navier-Stokes-Landau-Lifshitz equations in two-dimension with finite energy. The main techniques is the Faedo-Galerkin approximation and weak compactness theory.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30078-4
       
  • Compactness for the commutator of Bochner-Riesz operator
    • Authors: Rui BU; Jiecheng CHEN; Guoen HU
      Pages: 1373 - 1384
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Rui BU, Jiecheng CHEN, Guoen HU
      Let α ∈ ( 0 ,     n - 1 2 ) and T α be the Bochner-Riesz operator of order α. In this paper, for n = 2 and n ≥ 3, the compactness on Lebesgue spaces and Morrey spaces are considered for the commutator of Bochner-Riesz operator generated by CMO(ℝn) function and T α.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30079-6
       
  • Positive steady states of a diffusive predator-prey system with predator
           cannibalism
    • Authors: Biao WANG
      Pages: 1385 - 1398
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Biao WANG
      The purpose of this paper is to investigate positive steady states of a diffusive predator-prey system with predator cannibalism under homogeneous Neumann boundary conditions. With the help of implicit function theorem and energy integral method, non-existence of non-constant positive steady states of the system is obtained, whereas coexistence of non-constant positive steady states is derived from topological degree theory. The results indicate that if dispersal rate of the predator or prey is sufficiently large, there is no non-constant positive steady states. However, under some appropriate hypotheses, if the dispersal rate of the predator is larger than some positive constant, for certain ranges of dispersal rates of the prey, there exists at least one non-constant positive steady state.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30080-2
       
  • Heat kernel estimates on Julia sets
    • Authors: Meng YANG
      Pages: 1399 - 1414
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Meng YANG
      We give heat kernel estimates on Julia sets J(fc ) for quadratic polynomials fc (z)= z 2 + c for c in the main cardioid or the ± 1 k -bulbs where k ≥2. First we use external ray parametrization to construct a regular, strongly local and conservative Dirichlet form on Julia set. Then we show that this Dirichlet form is a resistance form and the corresponding resistance metric induces the same topology as Euclidean metric. Finally, we give heat kernel estimates under the resistance metric.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30081-4
       
  • Classification of positive solutions to a system of Hardy-Sobolev type
           equations
    • Authors: Wei DAI; Zhao LIU
      Pages: 1415 - 1436
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Wei DAI, Zhao LIU
      In this paper, we are concerned with the following Hardy-Sobolev type system (0.1) { ( - Δ ) α 2 u ( x ) = υ q ( x ) y t 2 ( - Δ ) α 2 υ ( x ) = u p ( x ) y t 1 , x = ( y , z ) ∈ ( ℝ k \ { 0 } ) × ℝ n - k , where 0<α<n, 0<t 1,t 2 < min{α,k}, and 1 < p ≤ τ 1 : = n + α - 2 t 1 n - α , 1 < q ≤ τ 2 : = n + α - 2 t 2 n - α . . We first establish the equivalence of classical and weak solutions between PDE system (0.2) { u ( x ) = ∫ ℝ n G α ( x , ξ ) u p ( ξ ) η t 2 d ξ υ ( x ) = ∫ ℝ n G α ( x , ξ ) u p ( ξ ) η t 2 d ξ , where G α ( x , ξ ) = c n , α x - ξ n - α is the Green's function of ( - Δ ) α 2 in ℝn. Then, by the method of moving planes in the integral forms, in the critical case p = τ1 and q = τ2, we prove that each pair of nonnegative solutions(u,v) of (0.1) is radially symmetric and monotone decreasing about the origin in ℝk and some point z 0 in ℝn-k. In the subcritical case
      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30082-6
       
  • General decay for a viscoelastic equation of variable coefficients with a
           time-varying delay in the boundary feedback and acoustic boundary
           conditions
    • Authors: Yamna BOUKHATEM; Benyattou BENABDERRAHMANE
      Pages: 1453 - 1471
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Yamna BOUKHATEM, Benyattou BENABDERRAHMANE
      A variable coefficient viscoelastic equation with a time-varying delay in the boundary feedback and acoustic boundary conditions and nonlinear source term is considered. Under suitable assumptions, general decay results of the energy are established via suitable Lyapunov functionals and some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and the elements of the matrix A and the kernel function g.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30084-x
       
  • Multiple positive solutions for a class of semipositone Neumann problems
           with singular φ-laplacian
    • Authors: Ruyun MA; Hongliang GAO
      Pages: 1472 - 1482
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Ruyun MA, Hongliang GAO
      We study the existence of multiple positive solutions for a Neumann problem with singular φ-Laplacian { - ( φ ( u ′ ) ) ′ = λ f ( u ) ,             x ∈ ( 0 , 1 ) , u ′ ( 0 ) = 0 = u ′ ( 1 ) , where λ is a positive parameter, φ ( s ) = s 1 - s 2 , f ∈ C 1 ( [ 0 , ∞ ) , ℝ ) , f ′ ( u ) > 0   for   u > 0 , and for some 0<β<θ such that f(u)<0 for u∈[0,β) (semipositone) and f(u)>0 for u > β. Under some suitable assumptions, we obtain the existence of multiple positive solutions of the above problem by using the quadrature technique. Further, if f ∈ C 2([0,β)∪(β,∞),ℝ), f″(u)≥0 for u ∈[0,β) and f″(u) ≤0 for u ∈(β,∞), then there exist exactly 2n+1 positive solutions for some interval of λ, which is dependent on n and θ. Moreover, We also give some examples to apply our results.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30085-1
       
  • BSDES in games, coupled with the value functions. associated nonlocal
           Bellman-Isaacs equations
    • Authors: Tao HAO; Juan LI
      Pages: 1497 - 1518
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Tao HAO, Juan LI
      We establish a new type of backward stochastic differential equations (BSDEs) connected with stochastic differential games (SDGs), namely, BSDEs strongly coupled with the lower and the upper value functions of SDGs, where the lower and the upper value functions are defined through this BSDE. The existence and the uniqueness theorem and comparison theorem are proved for such equations with the help of an iteration method. We also show that the lower and the upper value functions satisfy the dynamic programming principle. Moreover, we study the associated Hamilton-Jacobi-Bellman-Isaacs (HJB-Isaacs) equations, which are nonlocal, and strongly coupled with the lower and the upper value functions. Using a new method, we characterize the pair (W,U) consisting of the lower and the upper value functions as the unique viscosity solution of our nonlocal HJB-Isaacs equation. Furthermore, the game has a value under the Isaacs' condition.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30087-5
       
  • Local discontinuous Galerkin method for elliptic interface problems
    • Authors: Zhijuan ZHANG; Xijun YU; Yanzhen CHANG
      Pages: 1519 - 1535
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Zhijuan ZHANG, Xijun YU, Yanzhen CHANG
      In this paper, the minimal dissipation local discontinuous Galerkin method is studied to solve the elliptic interface problems in two-dimensional domains. The interface may be arbitrary smooth curves. It is shown that the error estimates in L 2-norm for the solution and the flux are O(h 2 logh ) and O(h logh 1/2), respectively. In numerical experiments, the successive substitution iterative methods are used to solve the LDG schemes. Numerical results verify the efficiency and accuracy of the method.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30088-7
       
  • Universal inequalities for a horizontal Laplacian version of the clamped
           plate problem on Carnot group
    • Authors: Feng DU; Chuanxi WU; Guanghan LI; Changyu XIA
      Pages: 1536 - 1544
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Feng DU, Chuanxi WU, Guanghan LI, Changyu XIA
      In this paper, we investigate a horizontal Laplacian version of the clamped plate problem on Carnot groups and obtain some universal inequalities. Furthermore, for the lower order eigenvalues of this eigenvalue problem on carnot groups, we also give some universal inequalities.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30089-9
       
  • Renormalized solutions of elliptic equations with Robin boundary
           conditions
    • Authors: Olivier GUIBÉ; Alip OROPEZA
      Pages: 889 - 910
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Olivier GUIBÉ, Alip OROPEZA
      In the present paper, we consider elliptic equations with nonlinear and nonhomogeneous Robin boundary conditions of the type { - div ( B ( x , u ) ∇ u ) = f   in   Ω , u = 0   on   Γ o B ( x , u ) ∇ u ⋅ n → + γ ( x ) h ( u ) = g   on   Γ 1 where f and g are the element of L 1 (Ω) and L 1 (Γ1), respectively. We define a notion of renormalized solution and we prove the existence of a solution. Under additional assumptions on the matrix field B we show that the renormalized solution is unique.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30046-2
       
  • Existence of solutions of nonlocal perturbations of dirichlet discrete
           nonlinear problems
    • Authors: Alberto CABADA; Nikolay D. DIMITROV
      Pages: 911 - 926
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Alberto CABADA, Nikolay D. DIMITROV
      This paper is devoted to the study of second order nonlinear difference equations. A Nonlocal Perturbation of a Dirichlet Boundary Value Problem is considered. An exhaustive study of the related Green's function to the linear part is done. The exact expression of the function is given, moreover the range of parameter for which it has constant sign is obtained. Using this, some existence results for the nonlinear problem are deduced from monotone iterative techniques, the classical Krasnoselski fixed point theorem or by application of recent fixed point theorems that combine both theories.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30047-4
       
  • Dynamical behavior of a stochastic HBV infection model with logistic
           hepatocyte growth
    • Authors: Qun LIU; Daqing JIANG; Ningzhong SHI; Tasawar HAYAT; Ahmed ALSAEDI
      Pages: 927 - 940
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Qun LIU, Daqing JIANG, Ningzhong SHI, Tasawar HAYAT, Ahmed ALSAEDI
      This paper is concerned with a stochastic HBV infection model with logistic growth. First, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HBV infection model. Then we obtain sufficient conditions for extinction of the disease. The stationary distribution shows that the disease can become persistent in vivo.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30048-6
       
  • A variational-hemivariational inequality in contact problem for locking
           materials and nonmonotone slip dependent friction
    • Authors: Justyna
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Stanisław MIGÓRSKI, Justyna OGORZAŁY
      We study a new class of elliptic variational-hemivariational inequalities arising in the modelling of contact problems for elastic ideally locking materials. The contact is described by the Signorini unilateral contact condition and the friction is modelled by the nonmonotone multivalued subdifferential condition which depends on the slip. The problem is governed by a nonlinear elasticity operator, the subdifferential of the indicator function of a convex set which describes the locking constraints and a nonconvex locally Lipschitz friction potential. The result on existence and uniqueness of solution to the inequality is shown. The proof is based on a surjectivity result for maximal monotone and pseudomonotone operators combined with the application of the Banach contraction principle.

      PubDate: 2017-09-30T14:35:08Z
       
  • Generalized riemann integral on fractal sets
    • Authors: Feng
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Feng SU
      The theory of integration to mathematical analysis is so important that many mathematicians continue to develop new theory to enlarge the class of integrable functions and simplify the Lebesgue theory integration. In this paper, by slight modifying the definition of the Henstock integral which was introduced by Jaroslav Kurzweil and Ralph Henstock, we present a new definition of integral on fractal sets. Furthermore, its integrability has been discussed, and the relationship between differentiation and integral is also established. As an example, the integral of Cantor function on Cantor set is calculated.

      PubDate: 2017-08-27T16:02:54Z
       
  • Left-right Browder linear relations and Riesz perturbations
    • Authors: Teresa
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Teresa ÁLVAREZ
      A closed linear relation T in a Banach space X is called left (resp. right) Fredholm if it is upper (resp. lower) semiFredholm and its range (resp. null space) is topologically complemented in X. We say that T is left (resp. right) Browder if it is left (resp. right) Fredholm and has a finite ascent (resp. descent). In this paper, we analyze the stability of the left (resp. right) Fredholm and the left (resp. right) Browder linear relations under commuting Riesz operator perturbations. Recent results of Zivkovic et al. to the case of bounded operators are covered.

      PubDate: 2017-08-27T16:02:54Z
       
  • The energy function with respect to the zeros of the exceptional Hermite
           polynomials
    • Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Ágota P. HORVÁTH
      We examine the energy function with respect to the zeros of exceptional Hermite polynomials. The localization of the eigenvalues of the Hessian is given in the general case. In some special arrangements we have a more precise result on the behavior of the energy function. Finally we investigate the energy function with respect to the regular zeros of the exceptional Hermite polynomials.

      PubDate: 2017-08-27T16:02:54Z
       
 
 
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