Existence of an entropic solution of a nonlinear elliptic problem in an unbounded domain

被引：1
|
作者：
Kozhevnikova, L. M. [1 ,2 ]
机构：
[1] Ufa Univ Sci & Technol, Sterlitamak Branch, Sterlitamak, Russia
[2] Kazan Volga Reg Fed Univ, Elabuga Branch, Yelabuga, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2024年 / 218卷 / 01期
关键词：
quasilinear elliptic equation; entropic solution; unbounded domain; existence of solution; Musielak-Orlicz space; RENORMALIZED SOLUTIONS; MUSIELAK; EQUATIONS;
D O I：
10.1134/S0040577924010082
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a second-order quasilinear elliptic equation with an integrable right-hand side. We formulate constraints on the structure of the equation in terms of a generalized N-function. We prove the existence of an entropic solution of the Dirichlet problem in nonreflexive Musielak-Orlicz-Sobolev spaces in an arbitrary unbounded strictly Lipschitz domain.
引用
收藏
页码：106 / 128
页数：23
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