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.
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页数：9
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