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math.AP2016
A Liouville Theorem for a Class of Fractional Systems in
Lizhi Zhang, Mei Yu, Jianming He
Let be any real number. In this paper, we investigate the following semilinear system involving the fractional Laplacian \begin{equation*} \left\{\begin{array}{lll} (-\la…
math.AP2016★ 2 cited
Symmetry of Solutions to Semilinear Equations Involving the Fractional Laplacian on and
Lizhi Zhang, Yongzhong Wang
Let be any real number. In this paper, we investigate the following semilinear equations involving the fractional Laplacian \begin{equation}(-\bigtriangleup)^{α/2} u(x)=f(u…
math.AP2014★ 2 cited
A Liouville theorem for -harmonic functions in
Wenxiong Chen, Congming Li, Lizhi Zhang +1
In this paper, we consider -harmonic functions in the half space : \begin{equation} \left\{\begin{array}{ll} (-Δ)^{α/2} u(x)=0,~u(x)>0, & x\in\mathbb{R}^n_+, \\…