Liouville type theorems, a priori estimates and existence of solutions for critical order Hardy-Hénon equations in ${\mathbb{R}}^n$

Wenxiong Chen, Wei Dai, Guolin Qin

In this paper, we consider the critical order Hardy-Hénon equations \begin{equation*} (-Δ)^{\frac{n}{2}}u(x)=\frac{u^{p}(x)}{|x|^{a}}, \,\,\,\,\,\,\,\,\,\,\, x \, \in \,\, \mathbb{…