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
来源：
Journal of Mathematical Sciences | 2019年 / 241卷 / 3期
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.
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收藏
页码：258 / 284
页数：26
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