2 papers
math.AP2019
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 (…
math.AP2017
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…