Liouville-type Theorems for Stable Solutions of the Hénon-Lane-Emden System

Long-Han Huang, Wenming Zou

We investigate the Hénon-Lane-Emden system defined by $-\hat{I}”u=|x{|}^a|v{|}^{p-1}v$ and $-\hat{I}”v=|x{|}^b|u{|}^{q-1}u$ in ${\mathbb{R}}^N\setminus \{0\}$. We begin by establishing a gener…