Semi-classical analysis for Fractional Schrödinger Equations with fast decaying potenials

Xiaoming An, Lipeng Duan, Yanfang Peng

We study the following fractional Schrödinger equation \begin{equation*}\label{eq0.1} ε^{2s}(-Δ)^s u + V(x)u = |u|^{p - 2}u, \,\,x\in\,\,\mathbb{R}^N, \end{equation*} where $s\in (…