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.
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页码：1440 / 1453
页数：14
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