A Liouville Theorem for a Class of Fractional Systems in ${\mathbb{R}}_{+}^n$

Lizhi Zhang, Mei Yu, Jianming He

Let $0<\alpha ,\beta <2$ be any real number. In this paper, we investigate the following semilinear system involving the fractional Laplacian \begin{equation*} \left\{\begin{array}{lll} (-\la…