Multiple Symmetric Results for Quasilinear Elliptic Systems Involving Singular Potentials and Critical Sobolev Exponents in RN

Abstract

This paper deals with a class of quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in ${\mathbb{R}}^N$. By using the symmetric criticality principle of Palais and variational methods, we prove several existence and multiplicity results of G-symmetric solutions under certain appropriate hypotheses on the potentials and parameters.