## Abstract and Applied Analysis

### Existence of Nontrivial Solutions for Perturbed $p$-Laplacian Equation in ${\Bbb R}^{N}$ with Critical Nonlinearity

#### Abstract

We consider a perturbed $p$-Laplacian equation with critical nonlinearity in ${\Bbb R}^{N}$. By using variational method, we show that it has at least one positive solution under the proper conditions.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 725781, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412273269

Digital Object Identifier
doi:10.1155/2014/725781

Mathematical Reviews number (MathSciNet)
MR3191060

Zentralblatt MATH identifier
07022956

#### Citation

Zhang, Huixing; Liu, Xiaoqian. Existence of Nontrivial Solutions for Perturbed $p$ -Laplacian Equation in ${\Bbb R}^{N}$ with Critical Nonlinearity. Abstr. Appl. Anal. 2014 (2014), Article ID 725781, 7 pages. doi:10.1155/2014/725781. https://projecteuclid.org/euclid.aaa/1412273269

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