Classification of positive solutions of Hardy-Sobolev equation without the finite volume constraints

Lu Chen, Yabo Yang

In this paper, we are concerned with the critical Hardy-Sobolev equation \begin{equation*} -Δ_{p}u = \frac{u^{p^{*}_s-1}}{|x|^{s}}, \ \ x\in \mathbb{R}^n \end{equation*} where $p^{…