Liouville theorems for nonlocal Lane--Emden inequalities with degenerate kernels

Takwon Kim, Taehun Lee

We establish a Liouville-type theorem for the inequality ${\mathcal{L}}_{K}u\ge |u{|}^q$ in ${\mathbb{R}}^n$, where ${\mathcal{L}}_K$ is a translation-invariant, degenerate elliptic integr…