On $p$-Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential

Abstract

For $N\ge 2$ and $1<p<N$, we classify all positive ${\mathcal{D}}^{1,p}({\mathbb{R}}^N)$-solutions to $p$-Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential.

13 pages