1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2020
The A Priori Estimate and Existence of the Positive Solution for A Nonlinear System Involving the Fractional Laplacian
Ran Zhuo, Yan Li
In the paper, we consider the fractional elliptic system \begin{equation*}\left\{\begin{array}{ll} (- Δ)^{\frac{α_1}{2}}u(x)+\sum\limits^n_{i=1}b_i(x)\frac{\partial u}{\partial x_i…
math.AP2015★ 1 cited
A direct blowing-up and rescaling argument on the fractional Laplacian equation
Wenxiong Chen, Congming Li, Yan Li
In this paper, we develop a direct {\em blowing-up and rescaling} argument for a nonlinear equation involving the fractional Laplacian operator. Instead of using the conventional e…
math.AP2015
A semilinear equation involving the fractional Laplacian in
Yan Li
In this paper, we consider the semilinear equation involving the fractional Laplacian in the Euclidian space : \begin{equation} (-Δ)^{α/2} u(x) = f(x_n) \,u^p(x), \qu…