Liouville-type theorems for polyharmonic Hénon-Lane-Emden system

Quoc Hung Phan

We study Liouville-type theorem for polyharmonic Hénon-Lane-Emden system $(-\Delta {)}^{m}u=|x{|}^a{v}^p,(-\Delta {)}^{m}v=|x{|}^b{u}^q$ when $m,p,q\ge 1,pq\ne 1$, and $a,b\ge 0$. It is a natural conjec…