Liouville-type results for the Lane-Emden equation

Abstract

We present some Liouville-type result for the Lane-Emden equation in the subcritical and in the critical regimes. In particular, we focus on the so-called critical p-Laplace equation.

Keywords

• semilinear and quasilinear equations
• qualitative properties
• rigidity results
• critical p-laplace equation