2 citations · 2 across the 2 of their papers we have counts for
5 papers
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))…
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…
Existence of ground state solutions of Nehari-Pankov type to Schrödinger systems
XianHuan Tang, XiaoYan Lin
This paper is dedicated to studying the following elliptic system of Hamiltonian type: $$\left\{ \begin{array}{ll} -\varepsilon^2\triangle u+u+V(x)v=Q(x)F_{v}(u, v), \ \ \ \ x\in \…
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…
New super-quadratic conditions for asymptotically periodic Schrödinger equation
Xianhua Tang
This paper is dedicated to studying the semilinear Schrödinger equation $\left\{\begin{array}{ll}-\Nabla u+V(x)u=f(x, u), \ \ \ \ x\in {\R}^{N},u\in H^{1}({\R}^{N}),\end{array}\rig…