Multiplicity of solutions for a class of quasilinear elliptic equation involving the critical Sobolev and Hardy exponents

摘要

In this paper, by using concentration-compactness principle and a new version of the symmetric mountain-pass lemma due to Kajikiya (J Funct Anal 225:352–370, 2005), infinitely many small solutions are obtained for a class of quasilinear elliptic equation with singular potential