Semi-classical Solutions For Fractional Schrodinger Equations With Potential Vanishing At Infinity

Xiaoming An, Shuangjie Peng, Chaodong Xie

We study the following fractional Schrödinger equation \begin{equation}\label{eq0.1} \varepsilon^{2s}(-Δ)^s u + Vu = |u|^{p - 2}u,\ \ x\in\,\,\mathbb{R}^N. \end{equation} We show t…