Existence of Entropic Solutions of an Elliptic Problem in Anisotropic Sobolev–Orlicz Spaces

被引:0
|
作者
Kozhevnikova L.M. [1 ,2 ]
机构
[1] Sterlitamak Branch of the Bashkir State University, Sterlitamak
[2] Elabuga Branch of the Bashkir State University, Elabuga
关键词
35D30; 35J25; 35J62; anisotropic elliptic equation; entropic solution; existence of solution; N-function; pseudo-monotonic operator; Sobolev–Orlicz space;
D O I
10.1007/s10958-019-04422-7
中图分类号
学科分类号
摘要
We consider the Dirichlet problem in an arbitrary unbounded domain with inhomogeneous boundary conditions for a certain class of anisotropic elliptic equations whose right-hand sides belong to the class L1 and prove the existence of entropic solutions in anisotropic Sobolev–Orlicz spaces. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
引用
收藏
页码:258 / 284
页数:26
相关论文
共 50 条
  • [1] On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces
    L. M. Kozhevnikova
    [J]. Computational Mathematics and Mathematical Physics, 2017, 57 : 434 - 452
  • [2] Existence of a renormalized solutions for parabolic-elliptic system in anisotropic Orlicz-Sobolev spaces
    Ahakkoud, Y.
    Bennouna, J.
    Elmassoudi, M.
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024,
  • [3] On the Entropy Solution to an Elliptic Problem in Anisotropic Sobolev-Orlicz spaces
    Kozhevnikova, L. M.
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2017, 57 (03) : 434 - 452
  • [4] MULTIPLICITY OF SOLUTIONS FOR AN ANISOTROPIC PROBLEM IN ORLICZ-SOBOLEV SPACES
    Stancu-Dumitru, Denisa
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (05) : 815 - 834
  • [5] Existence of a Renormalized Solution of a Parabolic Problem in Anisotropic Sobolev–Orlicz Spaces
    Vorob’yov N.A.
    Mukminov F.K.
    [J]. Journal of Mathematical Sciences, 2021, 258 (1) : 37 - 64
  • [6] Existence of Solutions to a Semilinear Elliptic System through Orlicz-Sobolev Spaces
    Philippe Clément
    Ben de Pagter
    Guido Sweers
    François de Thélin
    [J]. Mediterranean Journal of Mathematics, 2004, 1 (3) : 241 - 267
  • [7] An existence result of entropy solutions to elliptic problems in generalized Orlicz–Sobolev spaces
    M. Bourahma
    A. Benkirane
    J. Bennouna
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 481 - 504
  • [8] Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
    Azroul, Elhoussine
    Benkirane, Abdelmoujib
    Srati, Mohammed
    [J]. ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1350 - 1375
  • [9] Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz–Sobolev spaces
    Pablo Ochoa
    Analía Silva
    Maria José Suarez Marziani
    [J]. Annali di Matematica Pura ed Applicata (1923 -), 2024, 203 : 21 - 47
  • [10] Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
    Elhoussine Azroul
    Abdelmoujib Benkirane
    Mohammed Srati
    [J]. Advances in Operator Theory, 2020, 5 : 1350 - 1375