Existence and multiplicity of solutions for a Neumann problem involving the p(x)-Laplace operator

被引：85

作者：

Mihailescu, Mihai ^{[1
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 05期

关键词：

p(x)-Laplace operator; Sobolev space with variable exponent; Ricceri's variational principle;

D O I：

10.1016/j.na.2006.07.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study an elliptic equation with nonstandard growth conditions and the Neumann boundary condition. We establish the existence of at least three solutions by using as the main tool a variational principle due to Ricceri. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1419 / 1425

页数：7

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