Open Access Research

Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential

Tsing-San Hsu

Author Affiliations

Department of Natural Sciences in the Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan, 333, Taiwan, ROC

Boundary Value Problems 2012, 2012:116  doi:10.1186/1687-2770-2012-116

Published: 17 October 2012

Abstract

In this paper, we consider singular elliptic systems involving a strongly coupled critical potential and concave nonlinearities. By using variational methods and analytical techniques, the existence and multiplicity of positive solutions to the system are established.

MSC: 35J60, 35B33.

Keywords:
Palais-Smale condition; Nehari manifold; strongly coupled; elliptic system; critical potential