Open Access Research

Existence of nontrivial solutions to perturbed p-Laplacian system in ℝ N involving critical nonlinearity

Huixing Zhang* and Wenbin Liu

Author Affiliations

Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, People's Republic of China

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Boundary Value Problems 2012, 2012:53 doi:10.1186/1687-2770-2012-53

Published: 4 May 2012

Abstract

We consider a p-Laplacian system with critical nonlinearity in ℝN. Under the proper assumptions, we obtain the existence of nontrivial solutions to perturbed p-Laplacian system by using the variational approach.

MR Subject Classification: 35B33; 35J60; 35J65.

Keywords:
p-Laplacian system; critical nonlinearity; variational methods.