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math.AP2018
Semiclassical states of a linearly coupled critical fractional Schrödinger system
Shijie Qi, Peihao Zhao
This paper focuses on the linearly coupled critical fractional Schrödinger system \begin{equation*} \begin{cases} ε^{2s}(-\triangle)^s u +a(x)u=u^p+λv\quad &\text{in}\ \mathbb{R}^N…
math.AP2018★ 1 cited
A Hopf lemma and regularity for fractional Laplacians
Wenxiong Chen, Congming Li, Shijie Qi
In this paper, we study qualitative properties of the fractional -Laplacian. Specifically, we establish a Hopf type lemma for positive weak super-solutions of the fractional $p-…