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

被引：3

作者：

Ge Bin ^{[1
]}

Zhou QingMei ^{[2
]}

机构：

[1] Harbin Engn Univ, Dept Appl Math, Harbin 150001, Peoples R China

[2] NE Forestry Univ, Harbin 150040, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 11-12期

基金：

中国博士后科学基金;

关键词：

p(x)-Laplacian; locally Lipschitz function; oscillatory nonlinearities; differential inclusion; variational principle; msc (2010) 35J20; 35J70; 35R20; VARIABLE EXPONENT; ELECTRORHEOLOGICAL FLUIDS; NONSTANDARD GROWTH; SOBOLEV EMBEDDINGS; FUNCTIONALS; EQUATIONS; SPACE;

D O I：

10.1002/mana.201000048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a differential inclusion problem involving p(x)-Laplacian. By nonsmooth variational methods and the theory of the variable exponent Sobolev spaces, we establish the existence of infinitely many positive solutions of the problem under suitable oscillatory assumptions on the potential j at zero or at infinity.

引用

页码：1303 / 1315

页数：13

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