Existence of Nontrivial Solutions for Perturbed p-Laplacian Equation in ℝN with Critical Nonlinearity

We consider a perturbed p-Laplacian equation with critical nonlinearity in ℝN. By using variational method, we show that it has at least one positive solution under the proper conditions.

Bibliographic Details
Main Authors: Huixing Zhang, Xiaoqian Liu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/725781