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  Subjects -> MATHEMATICS (Total: 886 journals)
    - APPLIED MATHEMATICS (72 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (656 journals)
    - MATHEMATICS (GENERAL) (42 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (77 journals)

MATHEMATICS (656 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 7)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
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: 15)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 4)
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: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
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 Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 9)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
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)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 19)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     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: 7)
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 the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
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: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
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: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
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: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
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: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
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: 28)
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: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)

        1 2 3 4 | Last

Journal Cover Annali di Matematica Pura ed Applicata
  [SJR: 1.167]   [H-I: 26]   [1 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1618-1891 - ISSN (Online) 0373-3114
   Published by Springer-Verlag Homepage  [2353 journals]
  • On locally finite groups whose subgroups of infinite rank have some
           permutable property
    • Authors: A. Ballester-Bolinches; S. Camp-Mora; M. R. Dixon; R. Ialenti; F. Spagnuolo
      Abstract: Abstract In this paper, we study the behavior of locally finite groups of infinite rank whose proper subgroups of infinite rank have one of the three following properties, which are generalizations of permutability: S-permutability, semipermutability and S-semipermutability. In particular, it is proved that if G is a locally finite group of infinite rank whose proper subgroups of infinite rank are S-permutable (resp. semipermutable), then G is locally nilpotent (resp. all subgroups are semipermutable). For locally finite groups whose proper subgroups of infinite rank are S-semipermutable, the same statement can be proved only for groups with min-p for every prime p. A counterexample is given for the general case.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0642-7
       
  • Conformally flat Riemannian manifolds with finite $$L^p$$ L p -norm
           curvature
    • Authors: Hai-Ping Fu; Jian-Ke Peng
      Abstract: Abstract Let \((M^n, g)(n\ge 3)\) be an n-dimensional complete, simply connected, locally conformally flat Riemannian manifold with constant scalar curvature S. Denote by T the trace-free Ricci curvature tensor of M. The main result of this paper states that T goes to zero uniformly at infinity if for \(p\ge \frac{n}{2}\) , the \(L^{p}\) -norm of T is finite. As applications, we prove that \((M^n, g)\) is compact if the \(L^{p}\) -norm of T is finite and S is positive, and \((M^n, g)\) is scalar flat if \((M^n, g)\) is a noncompact manifold with nonnegative constant scalar curvature and the \(L^{p}\) -norm of T is finite. We prove that \((M^n, g)\) is isometric to a sphere if S is positive and the \(L^{p}\) -norm of T is pinched in [0, C), where C is an explicit positive constant depending only on n, p and S. Finally, we prove an \(L^{p}(p\ge \frac{n}{2})\) -norm of T pinching theorem for complete, simply connected, locally conformally flat Riemannian manifolds with negative constant scalar curvature.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0646-3
       
  • Intrinsic geometry and analysis of Finsler structures
    • Authors: Chang-Yu Guo
      Abstract: Abstract In this short note, we prove that if F is a weak upper semicontinuous admissible Finsler structure on a domain in \(\mathbb {R}^n, n\ge 2\) , then the intrinsic distance and differential structures coincide.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0634-7
       
  • Blow-up analysis for a class of higher-order viscoelastic inverse problem
           with positive initial energy and boundary feedback
    • Authors: Mohammad Shahrouzi
      Abstract: Abstract In this paper we consider a nonlinear higher-order viscoelastic inverse problem with memory in the boundary. Under some suitable conditions on the coefficients, relaxation function and initial data, we proved a blow-up result for the solution with positive initial energy.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0644-5
       
  • Removable isolated singularities for solutions of anisotropic porous
           medium equation
    • Authors: M. A. Shan
      Abstract: Abstract We study a class of quasilinear parabolic equations with model representative $$\begin{aligned} \frac{\partial u}{\partial t}-\sum \limits _{i=1}^{n} \frac{\partial }{\partial x_i}\left( u ^{m_i-1} \frac{\partial u}{\partial x_i}\right) =0, m_i > 1,\, i=1,\ldots ,s,\,\,m_i < 1,\, i=s+1,\ldots ,n. \end{aligned}$$ We establish the pointwise condition for removability of singularity for solutions of such equations.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0647-2
       
  • On a two-component Bose–Einstein condensate with steep potential
           wells
    • Authors: Yuanze Wu; Tsung-fang Wu; Wenming Zou
      Abstract: Abstract In this paper, we study the following two-component systems of nonlinear Schrödinger equations $$\begin{aligned} \left\{ \begin{array}{ll} \Delta u-(\lambda a(x)+a_0(x))u+\mu _1u^3+\beta v^2u=0&{}\quad \text {in }\mathbb {R}^3,\\ \Delta v-(\lambda b(x)+b_0(x))v+\mu _2v^3+\beta u^2v=0&{}\quad \text {in }\mathbb {R}^3,\\ u,v\in H^1(\mathbb {R}^3), u,v>0&{}\quad \text {in }\mathbb {R}^3, \end{array}\right. \end{aligned}$$ where \(\lambda ,\mu _1,\mu _2>0\) and \(\beta <0\) are parameters; \(a(x), b(x)\ge 0\) are steep potentials and \(a_0(x),b_0(x)\) are sign-changing weight functions; a(x), b(x), \(a_0(x)\) and \(b_0(x)\) are not necessarily to be radial symmetric. By the variational method, we obtain a ground state solution and multi-bump solutions for such systems with \(\lambda \) sufficiently large. The concentration behaviors of solutions as both \(\lambda \rightarrow +\infty \) and \(\beta \rightarrow -\infty \) are also considered. In particular, the phenomenon of phase separations is observed in the whole space \(\mathbb {R}^3\) . In the Hartree–Fock theory, this provides a theoretical enlightenment of phase separation in \(\mathbb {R}^3\) for the 2-mixtures of Bose–Einstein condensates.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0635-6
       
  • Integrability and continuity of solutions to double divergence form
           equations
    • Authors: Vladimir I. Bogachev; Stanislav V. Shaposhnikov
      Abstract: Abstract We obtain sharp conditions for higher integrability and continuity of solutions to double divergence form second-order elliptic equations with coefficients of low regularity. In addition, we prove Harnack’s inequality in this case.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-016-0631-2
       
  • Weak q-concavity conditions for CR manifolds
    • Authors: Mauro Nacinovich; Egmont Porten
      Abstract: We introduce various notions of q-pseudo-concavity for abstract CR manifolds, and we apply these notions to the study of hypoellipticity, maximum modulus principle and Cauchy problems for CR functions.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0638-3
       
  • Semilinear elliptic problems with combined nonlinearities on the boundary
    • Authors: Marcelo F. Furtado; Ricardo Ruviaro; Edcarlos D. Silva
      Abstract: Abstract We prove the existence of two solutions for some elliptic equations with combined indefinite nonlinearities on the boundary. The main novelty is to consider variational methods together with a suitable split of the Sobolev space \(W^{1,2}(\Omega )\) .
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0645-4
       
  • Stochastic continuity equation with nonsmooth velocity
    • Authors: David A. C. Mollinedo; Christian Olivera
      Abstract: Abstract In this article we study the existence and uniqueness of solutions of the stochastic continuity equation with irregular coefficients.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0633-8
       
  • Product of generalized p -Kähler manifolds
    • Authors: Lucia Alessandrini
      Abstract: Abstract A product of Kähler manifolds also carries a Kähler metric. In this short note, we would like to study the product of generalized p-Kähler manifolds, compact or not. The results we get extend the known results (balanced, SKT, sG manifolds), and are optimal in the compact case. Hence we can give new non-trivial examples of generalized p-Kähler manifolds.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0640-9
       
  • A.e. convergence and 2-weight inequalities for Poisson-Laguerre semigroups
    • Authors: G. Garrigós; S. Hartzstein; T. Signes; B. Viviani
      Abstract: Abstract We find optimal decay estimates for the Poisson kernels associated with various Laguerre-type operators L. From these, we solve two problems about the Poisson semigroup \(e^{-t\sqrt{L}}\) . First, we find the largest space of initial data f so that \(e^{-t\sqrt{L}}f(x)\rightarrow f(x)\) at \({\,a.e.\,}x\) . Secondly, we characterize the largest class of weights w which admit 2-weight inequalities of the form \(\Vert \sup _{0<t\le t_0} e^{-t\sqrt{L}}f \,\Vert _{L^p(v)}\lesssim \Vert f\Vert _{L^p(w)}\) , for some other weight v.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0648-1
       
  • Morrey estimates for solutions of singular quadratic nonlinear equations
    • Authors: P. Cianci; G. R. Cirmi; S. D’Asero; S. Leonardi
      Abstract: Abstract We consider the following prototype problem: $$\begin{aligned} \left\{ \begin{aligned}&-\Delta u + M \frac{ \nabla u ^2}{u^\theta }=f&\hbox { in}\ \varOmega \\&u=0&\hbox { on}\ \partial \varOmega \end{aligned}\right. \end{aligned}$$ and we study the regularity of the gradient of a solution both in Morrey spaces and in fractional Sobolev spaces in correspondence of the regularity of the right-hand side.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0636-5
       
  • Boundary regularity estimates for nonlocal elliptic equations in $$C^1$$ C
           1 and $$C^{1,\alpha }$$ C 1 , α domains
    • Authors: Xavier Ros-Oton; Joaquim Serra
      Abstract: Abstract We establish sharp boundary regularity estimates in \(C^1\) and \(C^{1,\alpha }\) domains for nonlocal problems of the form \(Lu=f\) in \(\Omega \) , \(u=0\) in \(\Omega ^c\) . Here, L is a nonlocal elliptic operator of order 2s, with \(s\in (0,1)\) . First, in \(C^{1,\alpha }\) domains we show that all solutions u are \(C^s\) up to the boundary and that \(u/d^s\in C^\alpha (\overline{\Omega })\) , where d is the distance to \(\partial \Omega \) . In \(C^1\) domains, solutions are in general not comparable to \(d^s\) , and we prove a boundary Harnack principle in such domains. Namely, we show that if \(u_1\) and \(u_2\) are positive solutions, then \(u_1/u_2\) is bounded and Hölder continuous up to the boundary. Finally, we establish analogous results for nonlocal equations with bounded measurable coefficients in nondivergence form. All these regularity results will be essential tools in a forthcoming work on free boundary problems for nonlocal elliptic operators (Caffarelli et al., in Invent Math, to appear).
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-016-0632-1
       
  • Remarks on the Gauss images of complete minimal surfaces in Euclidean
           four-space
    • Authors: Reiko Aiyama; Kazuo Akutagawa; Satoru Imagawa; Yu Kawakami
      Abstract: Abstract We perform a systematic study of the image of the Gauss map for complete minimal surfaces in Euclidean four-space. In particular, we give a geometric interpretation of the maximal number of exceptional values of the Gauss map of a complete orientable minimal surface in Euclidean four-space. We also provide optimal results for the maximal number of exceptional values of the Gauss map of a complete minimal Lagrangian surface in the complex two-space and the generalized Gauss map of a complete nonorientable minimal surface in Euclidean four-space.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0643-6
       
  • On $$C^\infty $$ C ∞ well-posedness of hyperbolic systems with
           multiplicities
    • Authors: Claudia Garetto; Michael Ruzhansky
      Abstract: Abstract In this paper, we study first-order hyperbolic systems of any order with multiple characteristics (weakly hyperbolic) and time-dependent analytic coefficients. The main question is when the Cauchy problem for such systems is well-posed in \(C^{\infty }\) and in \({\mathcal {D}}'\) . We prove that the analyticity of the coefficients combined with suitable hypotheses on the eigenvalues guarantees the \(C^\infty \) well-posedness of the corresponding Cauchy problem.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0639-2
       
  • Higher order selfdual toric varieties
    • Authors: Alicia Dickenstein; Ragni Piene
      Abstract: Abstract The notion of higher order dual varieties of a projective variety, introduced in Piene [Singularities, part 2, (Arcata, Calif., 1981), Proceedings of Symposia in Pure Mathematics, American Mathematical Society, Providence, 1983], is a natural generalization of the classical notion of projective duality. In this paper, we present geometric and combinatorial characterizations of those equivariant projective toric embeddings that satisfy higher order selfduality. We also give several examples and general constructions. In particular, we highlight the relation with Cayley–Bacharach questions and with Cayley configurations.
      PubDate: 2017-10-01
      DOI: 10.1007/s10231-017-0637-4
       
  • Functional capacities on the Grushin space $${\mathbb {G}}^n_\alpha $$ G
           α n
    • Authors: Yu Liu; Jie Xiao
      Abstract: Abstract Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \) are introduced, developed, and subsequently applied to the theory of Sobolev embeddings.
      PubDate: 2017-09-18
      DOI: 10.1007/s10231-017-0699-3
       
  • The classical obstacle problem with coefficients in fractional Sobolev
           spaces
    • Authors: Francesco Geraci
      Abstract: Abstract We prove quasi-monotonicity formulae for classical obstacle-type problems with quadratic energies with coefficients in fractional Sobolev spaces, and a linear term with a Dini-type continuity property. These formulae are used to obtain the regularity of free-boundary points following the approaches by Caffarelli, Monneau and Weiss.
      PubDate: 2017-09-14
      DOI: 10.1007/s10231-017-0692-x
       
  • Finite groups of units of finite characteristic rings
    • Authors: Ilaria Del Corso; Roberto Dvornicich
      Abstract: 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: 2017-09-13
      DOI: 10.1007/s10231-017-0697-5
       
 
 
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