Liouville-type theorems and bounds of solutions for Hardy-Hénon elliptic systems

Quoc Hung Phan

We consider the Hardy-Hénon system $-\Delta u=|x{|}^a{v}^p$, $-\Delta v=|x{|}^b{u}^q$ with $p,q>0$ and $a,b\in \mathbb{R}$ and we are concerned in particular with the Liouville property, i.e. the…