154 citations · 178 across the 7 of their papers we have counts for
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New approaches for Schrödinger equations with prescribed mass: The Sobolev subcritical case and The Sobolev critical case with mixed dispersion
Sitong Chen, Xianhua Tang
In this paper, we prove the existence of normalized solutions for the following Schrödinger equation \begin{equation*} \left\{ \begin{array}{ll} -Δu-λu=f(u), & x\in \R^N, \int_{\R^…
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…
Non-Nehari manifold method for asymptotically periodic Schrödinger equation
Xianhua Tang
We consider the semilinear Schrödinger equation where $…