most citedSingularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions

2 citations · 2 across the 1 of their papers we have counts for

collaborators
Showing math.APShow all

3 papers · 1 filter

math.AP2019★ 2 cited

Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions

Xianhua Tang, Sitong Chen

In the present paper, we consider the following singularly perturbed problem: \begin{equation*} \left\{ \begin{array}{ll} -\varepsilon^2\triangle u+V(x)u=\varepsilon^{-α}(I_α*F(u))…

math.AP2019

Berestycki-Lions conditions on ground state solutions for Kirchhoff-type problems with variable potentials

Sitong Chen, Xianhua Tang

By introducing some new tricks, we prove that the nonlinear problem of Kirchhoff-type \begin{equation*} \left\{ \begin{array}{ll} -\left(a+b\int_{\R^3}|\nabla u|^2\mathrm{d}x\right…

math.AP2018

Berestycki-Lions conditions on ground state solutions for a Nonlinear Schrödinger equation with variable potentials

Xianhua Tang, Sitong Chen

This paper is dedicated to studying the nonlinear Schrödinger equations of the form \begin{equation*}\label{KE} \left\{ \begin{array}{ll} -\triangle u+V(x)u=f(u), & x\in \R^N; u\in…