## Abstract and Applied Analysis

### Multiple Solutions for a Class of Differential Inclusion System Involving the $(p(x),q(x))$-Laplacian

#### Abstract

We consider a differential inclusion system involving the $(p(x),q(x))$-Laplacian with Dirichlet boundary condition on a bounded domain and obtain two nontrivial solutions under appropriate hypotheses. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 971243, 19 pages.

Dates
First available in Project Euclid: 5 April 2013

https://projecteuclid.org/euclid.aaa/1365125164

Digital Object Identifier
doi:10.1155/2012/971243

Mathematical Reviews number (MathSciNet)
MR2935158

Zentralblatt MATH identifier
1250.35094

#### Citation

Ge, Bin; Shen, Ji-Hong. Multiple Solutions for a Class of Differential Inclusion System Involving the $(p(x),q(x))$ -Laplacian. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 971243, 19 pages. doi:10.1155/2012/971243. https://projecteuclid.org/euclid.aaa/1365125164

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