On the classification of solutions to a class of $N$-Liouville equations in ${\mathbb{R}}^N$

Giulio Ciraolo, Pierpaolo Esposito, Xiaoliang Li

Given $N\ge 2$ and $\alpha >-1$, we consider the following weighted Liouville-type equation involving the $N$-Laplacian: \begin{equation*} \left\{ \begin{aligned} -& Δ_N u = |x|^{Nα} e^…