On the uniqueness of solutions of an nonlocal elliptic system

Kelei Wang, Juncheng Wei

We consider the following elliptic system with fractional laplacian $$ -(-Δ)^su=uv^2,\ \ -(-Δ)^sv=vu^2,\ \ u,v>0 \ \mbox{on}\ \R^n,$$ where $s\in (0,1)$ and $(-\Delta {)}^s$ is the $s$-Lapa…