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

页码：106 / 128

页数：23

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