## Abstract and Applied Analysis

### Three Solutions for Inequalities Dirichlet Problem Driven by $p(x)$-Laplacian-Like

#### Abstract

A class of nonlinear elliptic problems driven by $p(x)$-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three-critical-point theorem, existence of three solutions of the problem is proved.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 575328, 6 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393449761

Digital Object Identifier
doi:10.1155/2013/575328

Mathematical Reviews number (MathSciNet)
MR3070191

Zentralblatt MATH identifier
1294.35022

#### Citation

Qing-Mei, Zhou; Bin, Ge. Three Solutions for Inequalities Dirichlet Problem Driven by $p(x)$ -Laplacian-Like. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 575328, 6 pages. doi:10.1155/2013/575328. https://projecteuclid.org/euclid.aaa/1393449761

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