Xian Yang

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math.AP2023

Semi-classical states for fractional Choquard equations with decaying potentials

Yinbin Deng, Shuangjie Peng, Xian Yang

This paper deals with the following fractional Choquard equation $ε^{2 s} (- Δ)^{s} u + V u = ε^{- α} (I_{α} * ∣ u ∣^{p}) ∣ u ∣^{p - 2} u in R^{N},$ where $\varep…

math.AP2023

Existence and decays of solutions for fractional Schrödinger equations with decaying potentials

Yinbin Deng, Shuangjie Peng, Xian Yang

We revisit the following fractional Schrödinger equation \begin{align}\label{1a} \varepsilon^{2s}(-Δ)^su +Vu=u^{p-1},\,\,\,u>0,\ \ \ \mathrm{in}\ \R^N, \end{align} where $\varepsil…