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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.AP2019★ 1 cited
On the non-degeneracy of radial vortex solutions for a coupled Ginzburg-Landau system
Lipeng Duan, Jun Yang
For the following Ginzburg-Landau system in \begin{align*} \begin{cases} -Δw^+ +\Big[A_+\big(|w^+|^2-{t^+}^2\big)+B\big(|w^-|^2-{t^-}^2\big)\Big]w^+=0, \\[3mm] -Δw^…