A new critical curve for the Lane-Emden system

Wenjing Chen, Louis Dupaigne, Marius Ghergu

We study stable positive radially symmetric solutions for the Lane-Emden system $-\Delta u=v^p$ in ${\mathbb{R}}^N$, $-\Delta v=u^q$ in ${\mathbb{R}}^N$, where $p,q\ge 1$. We obtain a new critical curve that opt…