Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional elliptic system

QiHan He, Shuangjie Peng, Yan-Fang Peng

In this paper, we study the following fractional nonlinear Schrödinger system $$ \left\{% \begin{array}{ll} (-Δ)^s u +u=μ_1 |u|^{2p-2}u+β|v|^p|u|^{p-2}u,~~x\in \R^N,\vspace{2mm}\\…