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  Subjects -> MATHEMATICS (Total: 978 journals)
    - APPLIED MATHEMATICS (81 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (723 journals)
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    - PROBABILITIES AND MATH STATISTICS (91 journals)

MATHEMATICS (723 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 32)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 4)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 14)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Science     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Nonlinear Analysis     Hybrid Journal  
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 12)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 6)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 9)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 2)
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 12)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of Pure and Applied Logic     Open Access   (Followers: 3)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 13)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 9)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 21)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 12)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 8)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 30)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Econometrics     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)

        1 2 3 4 | Last

Journal Cover
Analysis and Mathematical Physics
Journal Prestige (SJR): 0.536
Citation Impact (citeScore): 1
Number of Followers: 5  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1664-2368 - ISSN (Online) 1664-235X
Published by Springer-Verlag Homepage  [2351 journals]
  • A characterization of essential pseudospectra of the multivalued operator
           matrix
    • Authors: Aymen Ammar; Aref Jeribi; Bilel Saadaoui
      Pages: 325 - 350
      Abstract: The main goal of this paper is to give a characterization of the essential pseudospectra of \(2\times 2\) matrix of linear relations on a Banach space. We start by giving the definition and we investigate the characterization and some properties of the essential pseudospectra. Furthermore, we apply the obtained result to determine the essential pseudospectra of two-group transport equation with general boundary conditions in the Banach space.
      PubDate: 2018-09-01
      DOI: 10.1007/s13324-017-0170-z
      Issue No: Vol. 8, No. 3 (2018)
       
  • Unbounded operators in Hilbert space, duality rules, characteristic
           projections, and their applications
    • Authors: Palle Jorgensen; Erin Pearse; Feng Tian
      Pages: 351 - 382
      Abstract: Our main theorem is in the generality of the axioms of Hilbert space, and the theory of unbounded operators. Consider two Hilbert spaces whose intersection contains a fixed vector space \(\mathscr {D}\) . In the case when \(\mathscr {D}\) is dense in one of the Hilbert spaces (but not necessarily in the other), we make precise an operator-theoretic linking between the two Hilbert spaces. No relative boundedness is assumed. Nonetheless, under natural assumptions (motivated by potential theory), we prove a theorem where a comparison between the two Hilbert spaces is made via a specific selfadjoint semibounded operator. Applications include physical Hamiltonians, both continuous and discrete (infinite network models), and the operator theory of reflection positivity.
      PubDate: 2018-09-01
      DOI: 10.1007/s13324-017-0173-9
      Issue No: Vol. 8, No. 3 (2018)
       
  • Comments on the Green’s function of a planar domain
    • Authors: Diganta Borah; Pranav Haridas; Kaushal Verma
      Pages: 383 - 414
      Abstract: We study several quantities associated to the Green’s function of a multiply connected domain in the complex plane. Among them are some intrinsic properties such as geodesics, curvature, and \(L^2\) -cohomology of the capacity metric and critical points of the Green’s function. The principal idea used is an affine scaling of the domain that furnishes quantitative boundary behaviour of the Green’s function and related objects.
      PubDate: 2018-09-01
      DOI: 10.1007/s13324-017-0177-5
      Issue No: Vol. 8, No. 3 (2018)
       
  • Trace formula and new form of N -soliton to the Gerdjikov–Ivanov
           equation
    • Authors: Hui Nie; Junyi Zhu; Xianguo Geng
      Pages: 415 - 426
      Abstract: The Gerdjikov–Ivanov equation is investigated by the Riemann–Hilbert approach and the technique of regularization. The trace formula and new form of N-soliton solution are given. The dynamics of the stationary solitons and non-stationary solitons are discussed.
      PubDate: 2018-09-01
      DOI: 10.1007/s13324-017-0179-3
      Issue No: Vol. 8, No. 3 (2018)
       
  • Lump and lump-soliton solutions to the $$(2+1)$$ ( 2 + 1 ) -dimensional
           Ito equation
    • Authors: Jin-Yun Yang; Wen-Xiu Ma; Zhenyun Qin
      Pages: 427 - 436
      Abstract: Based on the Hirota bilinear form of the \((2+1)\) -dimensional Ito equation, one class of lump solutions and two classes of interaction solutions between lumps and line solitons are generated through analysis and symbolic computations with Maple. Analyticity is naturally guaranteed for the presented lump and interaction solutions, and the interaction solutions reduce to lumps (or line solitons) while the hyperbolic-cosine (or the quadratic function) disappears. Three-dimensional plots and contour plots are made for two specific examples of the resulting interaction solutions.
      PubDate: 2018-09-01
      DOI: 10.1007/s13324-017-0181-9
      Issue No: Vol. 8, No. 3 (2018)
       
  • Recovering finite parametric distributions and functions using the
           spherical mean transform
    • Authors: Yehonatan Salman
      Pages: 437 - 463
      Abstract: The aim of the article is to recover a certain type of finite parametric distributions and functions using their spherical mean transform which is given on a certain family of spheres whose centers belong to a finite set \(\Gamma \) . For this, we show how the problem of reconstruction can be converted to a Prony’s type system of equations whose regularity is guaranteed by the assumption that the points in the set \(\Gamma \) are in general position. By solving the corresponding Prony’s system we can extract the set of parameters which define the corresponding function or distribution.
      PubDate: 2018-09-01
      DOI: 10.1007/s13324-017-0171-y
      Issue No: Vol. 8, No. 3 (2018)
       
  • Hölder continuous solutions to the complex Monge–Ampère equations in
           non-smooth pseudoconvex domains
    • Authors: Nguyen Xuan Hong; Tran Van Thuy
      Pages: 465 - 484
      Abstract: In this paper, we prove the Hölder continuity for solutions to the complex Monge–Ampère equations on non-smooth pseudoconvex domains of plurisubharmonic type m.
      PubDate: 2018-09-01
      DOI: 10.1007/s13324-017-0175-7
      Issue No: Vol. 8, No. 3 (2018)
       
  • Uniformizations of stable $$(\gamma ,n)$$ ( γ , n ) -gonal Riemann
           surfaces
    • Authors: Rubén A. Hidalgo
      Abstract: A \((\gamma ,n)\) -gonal pair is a pair (S, f), where S is a closed Riemann surface and \(f:S \rightarrow R\) is a degree n holomorphic map onto a closed Riemann surface R of genus \(\gamma \) . If the signature of (S, f) is of hyperbolic type, then it admits a uniformizing pair \((\varGamma ,G)\) , where G is a Fuchsian group acting on the unit disc \({{\mathbb {D}}}\) containing \(\varGamma \) as an index n subgroup, such that f is induced by the inclusion \(\varGamma \le G\) . The uniformizing pair is uniquely determined by (S, f), up to conjugation by holomorphic automorphisms of \({{\mathbb {D}}}\) , and it permits to provide a natural complex orbifold structure on the Hurwitz space parametrizing (twisted) isomorphic classes of pairs topologically equivalent to (S, f). In order to produce certain compactifications of these Hurwitz spaces, one needs to consider the so called stable \((\gamma ,n)\) -gonal pairs, which are natural geometrical deformations of \((\gamma ,n)\) -gonal pairs. Due to the above, it seems interesting to search for uniformizations of stable \((\gamma ,n)\) -gonal pairs, in terms of certain class of Kleinian groups. In this paper we review such uniformizations by using noded Fuchsian groups, obtained from the noded Beltrami differentials of Fuchsian groups that were previously studied by Alexander Vasil’ev and the author, and which provide uniformizations of stable Riemann orbifolds. These uniformizations permit to obtain a compactification of the Hurwitz spaces together a complex orbifold structure, these being quotients of the augmented Teichmüller space of G by a suitable finite index subgroup of its modular group.
      PubDate: 2018-10-15
      DOI: 10.1007/s13324-018-0253-5
       
  • On the Koenigs function of semigroups of holomorphic self-maps of the unit
           disc
    • Authors: Filippo Bracci; Manuel D. Contreras; Santiago Díaz-Madrigal
      Abstract: Let \((\phi _t)\) be a semigroup of holomorphic self-maps of  \(\mathbb {D}\) . In this note, we use an abstract approach to define the Koenigs function of \((\phi _t)\) and “holomorphic models” and show how to deduce the existence and properties of the infinitesimal generator of \((\phi _t)\) from this construction.
      PubDate: 2018-10-15
      DOI: 10.1007/s13324-018-0254-4
       
  • Multi-fold contour integrals of certain ratios of Euler gamma functions
           from Feynman diagrams: orthogonality of triangles
    • Authors: Ivan Gonzalez; Igor Kondrashuk; Eduardo A. Notte-Cuello; Ivan Parra-Ferrada
      Abstract: We observe a property of orthogonality of the Mellin–Barnes transformation of triangle one-loop diagrams, which follows from our previous papers (Kondrashuk and Kotikov in JHEP 0808:106, 2008; Kondrashuk and Vergara in JHEP 1003:051, 2010; Allendes et al. in J Math Phys 51:052304, 2010). In those papers it has been established that Usyukina–Davydychev functions are invariant with respect to the Fourier transformation. This has been proved at the level of graphs and also via the Mellin–Barnes transformation. We partially apply to the one-loop massless scalar diagram the same trick in which the Mellin–Barnes transformation was involved and obtain the property of orthogonality of the corresponding MB transforms under integration over contours in two complex planes with certain weight. This property is valid in an arbitrary number of dimensions.
      PubDate: 2018-10-10
      DOI: 10.1007/s13324-018-0252-6
       
  • A fractional Kirchhoff system with singular nonlinearities
    • Authors: K. Saoudi
      Abstract: In this work we consider the following fractional Kirchhoff equations with singular nonlinearity: $$\begin{aligned} \left\{ \begin{array}{ll} M\Big ( \int _{\mathbb {R}^{2N}}\frac{ u(x)-u(y) ^{2}}{ x-y ^{N+2s}}dx dy\Big )(-\Delta )^s u = \lambda a(x) u ^{q-2}u +\frac{1-\alpha }{2-\alpha -\beta } c(x) u ^{-\alpha } v ^{1-\beta }, \quad \text {in }\Omega ,\\ M\Big ( \int _{\mathbb {R}^{2N}}\frac{ v(x)-v(y) ^{2}}{ x-y ^{N+2s}}dx dy\Big ) (-\Delta )^s v= \mu b(x) v ^{q-2}v +\frac{1-\beta }{2-\alpha -\beta } c(x) u ^{1-\alpha } v ^{-\beta }, \quad \text {in }\Omega ,\\ u=v = 0,\;\; \text{ in } \,\mathbb {R}^N\setminus \Omega , \end{array} \right. \end{aligned}$$ where \(\Omega \) is a bounded domain in \(\mathbb {R}^n\) with smooth boundary \(\partial \Omega \) , \(N> 2s\) , \(s \in (0,1)\) , \(0<\alpha<1,\;0<\beta <1,\) \(0<\alpha +\beta<2\theta<q<2^*_s,\) \(2^*_s=\frac{2N}{N-2s}\) is the fractional Sobolev exponent, \(\lambda , \mu \) are two parameters, \(a,\, b, \,c \in C({\overline{\Omega }})\) are non-negative weight functions, M is a continuous function, given by \(M(t)=k+lt^{\theta -1}\) \(k>0,\,l,\,\theta \ge 1,\) and \((-\Delta )^s\) is the fractional Laplacien operator. We use the Nehari manifold approach and some variational techniques in order to show the existence and multiplicity of positive solutions of the above problem with respect to the parameter \(\lambda \) and \(\mu \) .
      PubDate: 2018-10-03
      DOI: 10.1007/s13324-018-0251-7
       
  • On the complete integrability of the geodesic flow of pseudo- H -type Lie
           groups
    • Authors: Wolfram Bauer; Daisuke Tarama
      Abstract: Pseudo-H-type groups \(G_{r,s}\) form a class of step-two nilpotent Lie groups with a natural pseudo-Riemannian metric. In this paper the question of complete integrability in the sense of Liouville is studied for the corresponding (pseudo-)Riemannian geodesic flow. Via the isometry group of \(G_{r,s}\) families of first integrals are constructed. A modification of these functions gives a set of \(\dim G_{r,s}\) functionally independent smooth first integrals in involution. The existence of a lattice L in \(G_{r,s}\) is guaranteed by recent work of K. Furutani and I. Markina. The complete integrability of the pseudo-Riemannian geodesic flow of the compact nilmanifold \(L \backslash G_{r,s}\) is proved under additional assumptions on the group \(G_{r,s}\) .
      PubDate: 2018-10-01
      DOI: 10.1007/s13324-018-0250-8
       
  • Normal families and multiple values
    • Authors: Liangchen Qian; Yan Xu
      Abstract: In this paper, we obtain some normality criteria for families of meromorphic functions, which improve and generalize related results of Gu, Yang–Chang, Schwick, and Datt–Kumar.
      PubDate: 2018-09-28
      DOI: 10.1007/s13324-018-0249-1
       
  • Necessary criteria for the Bombieri conjecture
    • Authors: Dmitri Prokhorov
      Abstract: We consider functionals L which are the real parts of linear combinations of two Taylor coefficients on the class S of holomorphic univalent functions in the unit disk. The Bombieri conjecture can be interpreted in the form that L are locally maximized by the Koebe function simultaneously on S and on its subclass \(S_R\) consisting of typically real functions. We derive necessary criteria for the Bombieri conjecture in terms of inequalities for solutions to systems of differential equations in variations for the Loewner ODE.
      PubDate: 2018-09-07
      DOI: 10.1007/s13324-018-0248-2
       
  • Quasiconformal extensions, Loewner chains, and the $$\lambda $$ λ -Lemma
    • Authors: Pavel Gumenyuk; István Prause
      Abstract: Becker (J Reine Angew Math 255:23–43, 1972) discovered a sufficient condition for quasiconformal extendibility of Loewner chains. Many known conditions for quasiconformal extendibility of holomorphic functions in the unit disk can be deduced from his result. We give a new proof of (a generalization of) Becker’s result based on Slodkowski’s Extended \(\lambda \) -Lemma. Moreover, we characterize all quasiconformal extensions produced by Becker’s (classical) construction and use that to obtain examples in which Becker’s extension is extremal (i.e. optimal in the sense of maximal dilatation) or, on the contrary, fails to be extremal.
      PubDate: 2018-09-06
      DOI: 10.1007/s13324-018-0247-3
       
  • Weighted approximation and GBS of
           Chlodowsky–Szász–Kantorovich type operators
    • Authors: Tarul Garg; Ana Maria Acu; P. N. Agrawal
      Abstract: The present paper deals with the approximation properties of the bivariate operators which are the combination of Bernstein–Chlodowsky operators and the Szász–Kantorovich type operators. We investigate the degree of approximation of the bivariate operators for continuous functions in the weighted space of polynomial growth. Further, we introduce the Generalized Boolean Sum (GBS) of these bivariate Chlodowsky–Szász–Kantorovich type operators and examine the order of approximation in the Bögel space of continuous functions by means of the Lipschitz class and mixed modulus of smoothness. Besides this, we compare the rate of convergence of the Chlodowsky–Szász–Kantorovich type operators and the associated GBS operators by numerical examples and tables using Maple algorithms. It turns out that the GBS operator converges faster to the function than the original operator.
      PubDate: 2018-08-18
      DOI: 10.1007/s13324-018-0246-4
       
  • Characterization of boundedness of some commutators of maximal functions
           in terms of Lipschitz spaces
    • Authors: Pu Zhang
      Abstract: We give some characterizations of the boundedness of the maximal or nonlinear commutators of the Hardy–Littlewood maximal function and sharp maximal function in variable exponent Lebesgue spaces when the symbols b belong to the Lipschitz spaces, by which some new characterizations of Lipschitz spaces and nonnegative Lipschitz functions are obtained. Some equivalent relations between the Lipschitz norm and the variable exponent Lebesgue norm are also given.
      PubDate: 2018-08-11
      DOI: 10.1007/s13324-018-0245-5
       
  • Inverse problem for the differential pencil on an arbitrary graph with
           partial information given on the coefficients
    • Authors: Natalia P. Bondarenko
      Abstract: In this paper, a partial inverse problem for the quadratic Sturm–Liouville pencil on a geometrical graph of arbitrary structure is studied. We suppose that the coefficients of differential expressions are known a priori on all the graph edges except one, and recover the coefficients on the remaining edge, using a part of the spectrum. The results of the paper are uniqueness theorems and a constructive algorithm for solving the partial inverse problem.
      PubDate: 2018-08-03
      DOI: 10.1007/s13324-018-0244-6
       
  • Boundary blow-up solutions to a class of degenerate elliptic equations
    • Authors: Jihoon Lee
      Abstract: Let \(\Omega \) be a bounded domain in \(\mathbb {R}^N=\mathbb {R}^{N_1} \times \mathbb {R}^{N_2}\) with \(N_1, N_2 \ge 1\) , and \(N(s) = N_1 + (1+s)N_2\) be the homogeneous dimension of \(\mathbb {R}^N\) for \(s \ge 0\) . In this paper, we prove the existence and uniqueness of boundary blow-up solutions to the following semilinear degenerate elliptic equation $$\begin{aligned} {\left\{ \begin{array}{ll} G_s u = { x ^{2s}} u^p_+ \; &{}\text { in } \Omega ,\\ u(z)\rightarrow +\infty \; &{}\text { as } {d}(z) \rightarrow 0, \end{array}\right. } \end{aligned}$$ where \(u_+ = \max \{u,0\}\) , \(1<p<{{N(s)+2s} \over {N(s)-2}}\) , and d(z) denotes the Grushin distance from z to the boundary of \(\Omega \) . Here \(G_s\) is the Grushin operator of the form $$\begin{aligned} G_s u= \Delta _x u + x ^{2s}\Delta _y u, \; s\ge 0. \end{aligned}$$ It is worth noticing that our results do not require any assumption on the smoothness of the domain \(\Omega \) , and when \(s=0\) , we cover the previous results for the Laplace operator \(\Delta \) .
      PubDate: 2018-07-23
      DOI: 10.1007/s13324-018-0241-9
       
  • Certain geometric properties of the modified Dini function
    • Authors: Deepak Bansal; Manoj Kumar Soni; Amit Soni
      Abstract: In the present investigation we first introduce modified Dini function \(R^k_{\nu }(z)\) and then find sufficient conditions so that the modified Dini function \(R^k_{\nu }(z)\) have certain geometric properties like close-to-convexity, starlikeness and strongly starlikeness in the open unit disk. Relevance with some known results are also pointed out.
      PubDate: 2018-07-16
      DOI: 10.1007/s13324-018-0243-7
       
 
 
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