EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR DIRICHLET PROBLEMS INVOLVING THE P(X)-LAPLACE OPERATOR

被引：0

作者：

Avci, Mustafa ^{[1
]}

机构：

[1] Dicle Univ, Fac Sci, Dept Math, TR-21280 Diyarbakir, Turkey

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

p(x)-Laplace operator; variable exponent Lebesgue-Sobolev spaces; variational approach; Fountain theorem; EQUATIONS; THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study superlinear Dirichlet problems involving the p(x)-Laplace operator without using the Ambrosetti-Rabinowitz's superquadraticity condition. Using a variant Fountain theorem, but not including Palais-Smale type assumptions, we prove the existence and multiplicity of the solutions.

引用

页数：9

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