Shuangjie Peng

collaborators

Showing math.APShow all

3 papers · 1 filter

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…

math.AP2022

The $C^{0}$ -convergence at the Neumann boundary for Liouville equations

Yuchen Bi, Jiayu Li, Lei Liu +1

In this paper, we study the blow-up analysis for a sequence of solutions to the Liouville type equation with exponential Neumann boundary condition. For interior case, i.e. the blo…

Semi-classical states for fractional Choquard equations with decaying potentials

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

The C0-convergence at the Neumann boundary for Liouville equations

The $C^{0}$ -convergence at the Neumann boundary for Liouville equations