Three solutions to inequalities of Dirichlet problem driven by <em>p(x)</em>-Laplacian

GE Bin;XUE Xiao-Ping;GUO Meng-Shu

doi:10.1007/s10483-010-1361-9

Applied Mathematics and Mechanics >

2010 , Vol. 31 >Issue 10: 1283 - 1292

DOI: https://doi.org/10.1007/s10483-010-1361-9

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Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian

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1. Department of Mathematics, Harbin Engineering University, Harbin 150001, P. R. China;
2. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China

Received date: 2009-12-03

Revised date: 2010-08-24

Online published: 2010-10-01

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Abstract

A class of nonlinear elliptic problems driven by p(x)-Laplacian with a non-smooth locally Lipschitz potential is considered. By applying the version of the non-smooth three-critical-point theorem, the existence of three solutions to the problems is proved.

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GE Bin;XUE Xiao-Ping;GUO Meng-Shu . Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian[J]. Applied Mathematics and Mechanics, 2010 , 31(10) : 1283 -1292 . DOI: 10.1007/s10483-010-1361-9

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