EXISTENCE OF A SOLUTION TO A NONLINEAR ELLIPTIC EQUATION IN A MUSIELAK-ORLICZ-SOBOLEV SPACE FOR AN UNBOUNDED DOMAIN

被引：0
|
作者：
Kozhevnikova, L. M. [1 ,2 ]
Kashnikova, A. P. [1 ]
机构：
[1] Bashkir State Univ, Sterlitamak Branch, 37 Lenin Ave, Sterlitamak 453103, Russia
[2] Kazan Volga Reg Fed Univ, Elabuga Branch, 89 Kazanskaya Str, Yelabuga 423600, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2020年 / 17卷
关键词：
Musielak-Orlicz-Sobolev space; Delta(2)-condition; Dirichlet problem; existence of a solution; pseudomonotone operator; unbounded domain; BOUNDARY-VALUE-PROBLEMS; OPERATORS;
D O I：
10.33048/semi.2020.17.137
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a class of second-order elliptic equations with nonlinearities defined by generalized N-functions. The existence of a weak solution to the Dirichlet problem in a reflexive Musielak-Orlicz-Sobolev space is proved for an arbitrary unbounded domain.
引用
收藏
页码：2055 / 2067
页数：13
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