On Elliptic Equations and Systems involving critical Hardy-Sobolev exponents (non-limit case)

Zhong Xuexiu, Zou Wenming

Let $\Omega \subset {\mathbb{R}}^N$ ($N\ge 3$) be an open domain (may be unbounded) with $0\in \partial \Omega$ and $\partial \Omega$ be of $C^2$ at $0$ with the negative mean curvature $H(0)$. By using vari…