A Liouville theorem for $\alpha$-harmonic functions in ${\mathbb{R}}_{+}^n$

Wenxiong Chen, Congming Li, Lizhi Zhang +1

In this paper, we consider $\alpha$-harmonic functions in the half space ${\mathbb{R}}_{+}^n$: \begin{equation} \left\{\begin{array}{ll} (-Δ)^{α/2} u(x)=0,~u(x)>0, & x\in\mathbb{R}^n_+, \\…