most citedA direct blowing-up and rescaling argument on the fractional Laplacian equation

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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…