Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)-Laplace type in RN

被引：0

作者：

Seung Dae Lee

Kisoeb Park

Yun-Ho Kim

机构：

[1] Sangmyung University,Department of Mathematics Education

[2] Yonsei University,Department of Mathematics

[3] Sungkyunkwan University,Department of Mathematics

来源：

Boundary Value Problems | / 2014卷

关键词：

p(x)$p(x)$-Laplace type; variable exponent Lebesgue-Sobolev spaces; weak solution; mountain pass theorem; fountain theorem;

D O I：

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学科分类号：

摘要：

We are concerned with the following elliptic equations with variable exponents: −div(φ(x,∇u))+|u|p(x)−2u=λf(x,u) in RN, where the function φ(x,v) is of type |v|p(x)−2v with continuous function p:RN→(1,∞) and f:RN×R→R satisfies a Carathéodory condition. The purpose of this paper is to show the existence of at least one solution, and under suitable assumptions, infinitely many solutions for the problem above by using mountain pass theorem and fountain theorem.

引用

共 21 条

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