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  Subjects -> MATHEMATICS (Total: 978 journals)
    - APPLIED MATHEMATICS (81 journals)
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    - 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
Annali di Matematica Pura ed Applicata
Journal Prestige (SJR): 1.197
Citation Impact (citeScore): 1
Number of Followers: 1  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1618-1891 - ISSN (Online) 0373-3114
Published by Springer-Verlag Homepage  [2351 journals]
  • On a nonlinear model for arctic gyres
    • Authors: Jifeng Chu
      Pages: 651 - 659
      Abstract: We prove some results on the existence and uniqueness of solutions to a recently derived nonlinear model for the ocean flow in arctic gyres. We derive an equivalent formulation of the problem in the form of an integral equation on a semi-infinite interval and then use fixed point techniques. We also obtain some stability result.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0696-6
      Issue No: Vol. 197, No. 3 (2018)
       
  • Finite groups of units of finite characteristic rings
    • Authors: Ilaria Del Corso; Roberto Dvornicich
      Pages: 661 - 671
      Abstract: Fuchs (Abelian groups, Pergamon, Oxford, 1960, Problem 72) asked the following question: which groups can be the group of units of a commutative ring' In the following years, some partial answers have been given to this question in particular cases. The aim of the present paper is to address Fuchs’ question when A is a finite characteristic ring. The result is a pretty good description of the groups which can occur as group of units in this case, equipped with examples showing that there are obstacles to a “short” complete classification. As a by-product, we are able to classify all possible cardinalities of the group of units of a finite characteristic ring, so to answer Ditor’s question (Ditor in Am Math Mon 78(5):522–523, 1971).
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0697-5
      Issue No: Vol. 197, No. 3 (2018)
       
  • Functional capacities on the Grushin space $${\mathbb {G}}^n_\alpha $$ G
           α n
    • Authors: Yu Liu; Jie Xiao
      Pages: 673 - 702
      Abstract: Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \) are introduced, developed, and subsequently applied to the theory of Sobolev embeddings.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0699-3
      Issue No: Vol. 197, No. 3 (2018)
       
  • Isoparametric hypersurfaces in a Randers sphere of constant flag curvature
    • Authors: Ming Xu
      Pages: 703 - 720
      Abstract: In this paper, I study the isoparametric hypersurfaces in a Randers sphere \((S^n,F)\) of constant flag curvature, with the navigation datum (h, W). I prove that an isoparametric hypersurface M for the standard round sphere \((S^n,h)\) which is tangent to W remains isoparametric for \((S^n,F)\) after the navigation process. This observation provides a special class of isoparametric hypersurfaces in \((S^n,F)\) , which can be equivalently described as the regular level sets of isoparametric functions f satisfying \(-f\) is transnormal. I provide a classification for these special isoparametric hypersurfaces M, together with their ambient metric F on \(S^n\) , except the case that M is of the OT-FKM type with the multiplicities \((m_1,m_2)=(8,7)\) . I also give a complete classification for all homogeneous hypersurfaces in \((S^n,F)\) . They all belong to these special isoparametric hypersurfaces. Because of the extra W, the number of distinct principal curvature can only be 1, 2 or 4, i.e. there are less homogeneous hypersurfaces for \((S^n,F)\) than those for \((S^n,h)\) .
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0701-0
      Issue No: Vol. 197, No. 3 (2018)
       
  • From the Gross–Pitaevskii equation to the Euler Korteweg system,
           
    • Authors: Corentin Audiard; Boris Haspot
      Pages: 721 - 760
      Abstract: We consider the Euler equations with a capillary tensor in the case of the so-called quantum hydrodynamics, which is formally equivalent to the Gross–Pitaevskii equation. Our main result is the existence and uniqueness of global solutions without vortices for small data in dimension at least 3. The absence of vortices means that the density remains bounded away from 0. Previous results include existence of global solutions without uniqueness (Antonelli and Marcati in Commun Math Phys 287(2):657–686, 2009) and lower bounds on the first occurrence of vortices (Béthuel et al. in J Anal Math 110:297–338, 2010). Our proof uses in a crucial way some deep results on the scattering of the Gross–Pitaevskii equation due to Gustafson et al. (Commun Contemp Math 11(4):657–707, 2009). The optimality of our assumptions is discussed, in particular we show that for slightly less regular initial data the density does not even remain bounded. We also sketch in the appendix the key arguments for the scattering of solutions of the Gross–Pitaevskii equation.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0702-z
      Issue No: Vol. 197, No. 3 (2018)
       
  • Extension of modular functions and measures
    • Authors: Hans Weber
      Pages: 761 - 774
      Abstract: We prove extension theorems for group-valued modular functions defined on orthomodular lattices or modular complemented lattices and for modular measures defined on (pseudo-)D-lattices generalizing results of Riečan (Mat Časopis Sloven Akad Vied 19:44–49, 1969; 20:239–244, 1970; Comment Math Univ Carolin 20:309–316, 1979), Avallone and De Simone (Ital J Pure Appl Math 9:109–122, 2001) and Avallone et al. (Bollettino UMI 9-B(8):423–444, 2006; Math Slovaca 66:421–438, 2016). As basic tool, we first prove an extension theorem for lattice uniformities. This also yields as immediate consequence a result on the extension of modular functions on arbitrary lattices similar to that of Fox and Morales (Fundam Math 78:99–106, 1973) and Kranz (Fundam Math 91:171–178, 1976).
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0703-y
      Issue No: Vol. 197, No. 3 (2018)
       
  • Quasistatic evolution of perfectly plastic shallow shells: a rigorous
           variational derivation
    • Authors: G. B. Maggiani; M. G. Mora
      Pages: 775 - 815
      Abstract: In this paper, we rigorously deduce a quasistatic evolution model for shallow shells by means of \(\Gamma \) -convergence. The starting point of the analysis is the three-dimensional model of Prandtl–Reuss elasto-plasticity. We study the asymptotic behaviour of the solutions, as the thickness of the shell tends to zero. As in the case of plates, the limiting model is genuinely three-dimensional, limiting displacements are of Kirchhoff–Love type, and the stretching and bending components of the stress are coupled in the flow rule and in the stress constraint. However, in contrast with the case of plates, the equilibrium equations are not decoupled, because of the presence of curvature terms. An equivalent formulation of the limiting problem in rate form is also discussed.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0704-x
      Issue No: Vol. 197, No. 3 (2018)
       
  • Energy estimates for the Cauchy problem of Klein–Gordon-type equations
           with non-effective and very fast oscillating time-dependent potential
    • Authors: Fumihiko Hirosawa; Wanderley Nunes do Nascimento
      Pages: 817 - 841
      Abstract: The aim of this paper is to prove some energy estimates for Klein–Gordon equations with time-dependent potential. If the potential is “non-effective” and has “very slow oscillations” in the time-dependent coefficient, then energy estimates are proved in Ebert et al. (in: Dubatovskaya and Rogosin (eds) AMADE 2012, Cambridge Scientific Publishers, Cambridge, 2014). In contrast, the main goal of the present paper is to generalize the previous results to potentials with “very fast oscillations” in the time-dependent coefficient; consequently, the positivity of the potential is not required anymore.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0705-9
      Issue No: Vol. 197, No. 3 (2018)
       
  • Unique strong and $${ \mathbb {V} }$$ V -attractor of a three-dimensional
           globally modified two-phase flow model
    • Authors: T. Tachim Medjo
      Pages: 843 - 868
      Abstract: In this article, we study a globally modified Allen–Cahn–Navier–Stokes system in a three-dimensional domain. The model consists of the globally modified Navier–Stokes equations proposed in Caraballo et al. (Adv Nonlinear Stud 6(3):411–436, 2006) for the velocity, coupled with an Allen–Cahn model for the order (phase) parameter. We prove the existence and uniqueness of strong solutions. Using the flattening property, we also prove the existence of global \({ \mathbb {V} }\) -attractors for the model. Using a limiting argument, we derive the existence of bounded entire weak solutions for the three-dimensional coupled Allen–Cahn–Navier–Stokes system with time-independent forcing.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0706-8
      Issue No: Vol. 197, No. 3 (2018)
       
  • Parabolic solutions for the planar N -centre problem: multiplicity and
           scattering
    • Authors: Alberto Boscaggin; Walter Dambrosio; Duccio Papini
      Pages: 869 - 882
      Abstract: For the planar N-centre problem $$\begin{aligned} \ddot{x} = - \sum _{i=1}^N \frac{m_i (x-c_i)}{\vert x - c_i \vert ^{\alpha +2}}, \qquad x \in \mathbb {R}^2 {\setminus } \{ c_1,\ldots ,c_N \}, \end{aligned}$$ where \(m_i > 0\) for \(i=1,\ldots ,N\) and \(\alpha \in [1,2)\) , we prove the existence of entire parabolic trajectories, having prescribed asymptotic directions for \(t \rightarrow \pm \,\infty \) and prescribed topological characterization with respect to the set of the centres.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0707-7
      Issue No: Vol. 197, No. 3 (2018)
       
  • Multiple solutions for a problem with discontinuous nonlinearity
    • Authors: Claudianor O. Alves; Jefferson A. dos Santos; Rodrigo C. M. Nemer
      Pages: 883 - 903
      Abstract: In this work, we use the Lusternik–Schnirelmann category to estimate the number of nontrivial solutions for a problem with discontinuous nonlinearity and subcritical growth.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0708-6
      Issue No: Vol. 197, No. 3 (2018)
       
  • On square functions with independent increments and Sobolev spaces on the
           line
    • Authors: Julià Cufí; Artur Nicolau; Andreas Seeger; Joan Verdera
      Pages: 905 - 940
      Abstract: We prove a characterization of some \(L^p\) -Sobolev spaces involving the quadratic symmetrization of the Calderón commutator kernel, which is related to a square function with differences of difference quotients. An endpoint weak type estimate is established for functions in homogeneous Hardy–Sobolev spaces \(\dot{H}^1_\alpha \) . We also use a local version of this square function to characterize pointwise differentiability for functions in the Zygmund class.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0709-5
      Issue No: Vol. 197, No. 3 (2018)
       
  • Qualitative properties of singular solutions to nonlocal problems
    • Authors: Luigi Montoro; Fabio Punzo; Berardino Sciunzi
      Pages: 941 - 964
      Abstract: We consider positive weak solutions to \((-\Delta )^s u=f(x,u)\) in \(\Omega {\setminus } \Gamma \) under zero Dirichlet boundary condition. The domain \(\Omega \) is bounded or is the whole space, and the solution has a singularity on the singular set \(\Gamma \) . Under suitable assumptions on f we prove symmetry and monotonicity properties of the solutions when the singular set \(\Gamma \) has zero s-capacity.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0710-z
      Issue No: Vol. 197, No. 3 (2018)
       
  • Hardy spaces for semigroups with Gaussian bounds
    • Authors: Jacek Dziubański; Marcin Preisner
      Pages: 965 - 987
      Abstract: Let \(T_t=e^{-tL}\) be a semigroup of self-adjoint linear operators acting on \(L^2(X,\mu )\) , where \((X,d,\mu )\) is a space of homogeneous type. We assume that \(T_t\) has an integral kernel \(T_t(x,y)\) which satisfies the upper and lower Gaussian bounds: $$\begin{aligned} \frac{C_1}{\mu (B(x,\sqrt{t}))} \exp \left( {-\,c_1d(x,y)^2/ t} \right) \le T_t(x,y)\le \frac{C_2}{\mu (B(x,\sqrt{t}))} \exp \left( {-\,c_2 d(x,y)^2/ t} \right) . \end{aligned}$$ By definition, f belongs to \(H^1(L)\) if \(\Vert f\Vert _{{H^1(L)}}=\Vert \sup _{t>0} T_tf(x) \Vert _{L^1(X,\mu )} <\infty \) . We prove that there is a function \(\omega (x)\) , \(0<c\le \omega (x)\le C\) , such that \(H^1(L)\) admits an atomic decomposition with atoms satisfying: \({\mathrm{supp}}\, a\subset B\) , \(\Vert a\Vert _{L^\infty } \le \mu (B)^{-1}\) , and the weighted cancelation condition \(\int a(x)\omega (x)\hbox {d}\mu (x)=0\) .
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0711-y
      Issue No: Vol. 197, No. 3 (2018)
       
  • Erratum to: A $$\varvec{\mathbb {Q}}$$ Q -factorial complete toric variety
           is a quotient of a poly weighted space
    • Authors: Michele Rossi; Lea Terracini
      Pages: 989 - 998
      Abstract: After the publication of [2], we realized that Proposition 3.1, in that paper, contains an error, whose consequences are rather pervasive along the whole section 3 and for some aspects of examples 5.1 and 5.2. Here we give a complete account of needed corrections.
      PubDate: 2018-06-01
      DOI: 10.1007/s10231-017-0698-4
      Issue No: Vol. 197, No. 3 (2018)
       
  • Uniform boundary estimates in homogenization of higher-order elliptic
           systems
    • Authors: Weisheng Niu; Yao Xu
      Abstract: This paper focuses on uniform boundary estimates in homogenization of a family of higher-order elliptic operators \(\mathcal {L}_\varepsilon \) , with rapidly oscillating periodic coefficients. We derive uniform boundary \(C^{m-1,\lambda } (0\!<\!\lambda \!<\!1)\) and \( W^{m,p}\) estimates in \(C^1\) domains, as well as uniform boundary \(C^{m-1,1}\) estimate in \(C^{1,\theta } (0\!<\!\theta \!<\!1)\) domains without the symmetry assumption on the operator. The proof, motivated by the works “Armstrong and Smart in Ann Sci Éc Norm Supér (4) 49(2):423–481 (2016) and Shen in Anal PDE 8(7):1565–1601 (2015),” is based on a suboptimal convergence rate in \(H^{m-1}(\Omega )\) . Compared to “Kenig et al. in Arch Ration Mech Anal 203(3):1009–1036 (2012) and Shen (2015),” the convergence rate obtained here does not require the symmetry assumption on the operator, nor additional assumptions on the regularity of \(u_0\) (the solution to the homogenized problem), and thus might be of some independent interests even for second-order elliptic systems.
      PubDate: 2018-06-02
      DOI: 10.1007/s10231-018-0764-6
       
  • Centralizers on a super-reflexive Schatten ideal
    • Authors: Jesús Suárez de la Fuente
      Abstract: We give a simple proof that there is no strictly singular bicentralizer on a super-reflexive Schatten ideal. This result applies, in particular, to the p-Schatten class for \(1<p<\infty \) .
      PubDate: 2018-05-29
      DOI: 10.1007/s10231-018-0760-x
       
  • Peak functions in $$\mathbb {C}$$ C -convex domains
    • Authors: Peter Pflug; Włodzimierz Zwonek
      Abstract: In this paper, we show the existence of different types of peak functions in classes of \(\mathbb {C}\) -convex domains. As one of the tools used in this context is a result on preserving the regularity of \(\mathbb {C}\) -convex domains under projection.
      PubDate: 2018-05-29
      DOI: 10.1007/s10231-018-0759-3
       
  • Local behavior of solutions to fractional Hardy–Hénon equations
           with isolated singularity
    • Authors: Yimei Li; Jiguang Bao
      Abstract: In this paper, we study the local behaviors of positive solutions of $$\begin{aligned} (-\Delta )^\sigma u= x ^{\tau }u^p \end{aligned}$$ with an isolated singularity at the origin, where \((-\Delta )^\sigma \) is the fractional Laplacian, \(0<\sigma <1\) , \(\tau >-2\sigma \) and \(p>1\) . Our first results provide a blowup rate estimate near an isolated singularity, and show that the solution is asymptotically radially symmetric.
      PubDate: 2018-05-28
      DOI: 10.1007/s10231-018-0761-9
       
  • Transverse Kähler structures on central foliations of complex
           manifolds
    • Authors: Hiroaki Ishida; Hisashi Kasuya
      Abstract: For a compact complex manifold, we introduce holomorphic foliations associated with certain abelian subgroups of the automorphism group. If there exists a transverse Kähler structure on such a foliation, then we obtain a nice differential graded algebra which is quasi-isomorphic to the de Rham complex and a nice differential bi-graded algebra which is quasi-isomorphic to the Dolbeault complex like the formality of compact Kähler manifolds. Moreover, under certain additional condition, we can develop Morgan’s theory of mixed Hodge structures as similar to the study on smooth algebraic varieties.
      PubDate: 2018-05-26
      DOI: 10.1007/s10231-018-0762-8
       
 
 
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