Semilinear elliptic problems involving Hardy-Sobolev-Maz'ya potential and Hardy-Sobolev critical exponents

Abstract

In this article, we study a class of semilinear elliptic equations involving Hardy-Sobolev critical exponents and Hardy-Sobolev-Maz'ya potential in a bounded domain. We obtain the existence of positive solutions using the Mountain Pass Lemma.

Keywords

• Hardy-Sobolev-Maz'ya potential
• Hardy-Sobolev critical exponents
• positive solution
• Mountain Pass Lemma
• local Palais-Smale condition