Positive solutions to nonlinear inclusion problems in Orlicz-Sobolev spaces

被引：5

作者：

Dong, Ge ^{[1
]}

Fang, Xiaochun ^{[2
]}

机构：

[1] Shanghai Univ Med & Hlth Sci, Dept Arts & Sci Teaching, Shanghai, Peoples R China

[2] Tongji Univ, Sch Math Sci, Shanghai, Peoples R China

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Jen-Chih Yao; Orlicz-Sobolev spaces; nonlinear elliptic inclusion; multivalued operator; subsolution-supersolution; positive solutions; PARTIAL-DIFFERENTIAL SYSTEMS; EXISTENCE THEOREM; WEAK SOLUTIONS; INEQUALITIES; EQUATIONS; OPERATORS;

D O I：

10.1080/00036811.2019.1645327

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions to a nonlinear elliptic inclusion problem driven by an elliptic differential operator with Dirichlet boundary and a multivalued term depending on the solution and its gradient in reflexive Orlicz-Sobolev spaces by using a linear functional analysis method and a subsolution-supersolution method. We provide some sufficient conditions to ensure that a subsolution and a supersolution exist. An existence theorem for positive solutions of the problem is established.

引用

页码：1440 / 1453

页数：14

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