Symmetry and classification of positive solutions of some weighted elliptic equations

Kui Li, Mengyao Liu, Jianfeng Wu

We study the weighted elliptic equation \begin{equation} -div(|x|^{-2a}\nabla u)=|x|^{-bp}|u|^{p-2}u~~~\mbox{in}~\mathbb{R}^N ~~~~~~~~~~~~~~~~~~~~(0.1)\end{equation} with $N\ge 2$…