Infinitely many solutions for a Neumann-type differential inclusion problem involving the p(x)-Laplacian

被引：31

作者：

Dai, Guowei ^{[1
]}

机构：

[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 06期

基金：

中国国家自然科学基金;

关键词：

p(x)-Laplacian; Differential inclusion problem; Variational principle; VARIATIONAL PRINCIPLE; EXISTENCE; SPACES;

D O I：

10.1016/j.na.2008.03.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a differential inclusion problem involving the p(x)-Laplacian of the type {-div(vertical bar del u vertical bar(p(x)-2)del u) + lambda(x)vertical bar u vertical bar(p(x)-2)u is an element of partial derivative F(x,u) + partial derivative G(x,u) in Omega, partial derivative u/partial derivative gamma = 0 on partial derivative Omega. We prove the existence of infinitely many solutions of this problem under suitable hypotheses by applying a non-smooth Ricceritype variational principle and the theory of the variable exponent Sobolev spaces. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2297 / 2305

页数：9

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