10 citations · 38 across the 11 of their papers we have counts for
12 papers
Dynamics of radial threshold solutions for generalized energy-critical Hartree equation
Xuemei Li, Chenxi Liu, Xingdong Tang +1
In this paper, we study long time dynamics of radial threshold solutions for the focusing, generalized energy-critical Hartree equation and classify all radial threshold solutions.…
A perturbation result for the energy critical Choquard equation in
Xinyu Bo, Guangying Lv, Xingdong Tang +1
We study the singularly perturbed nonlinear energy critical Choquard equation \begin{equation*} -{\Laplace u}\qty({x}) -α \int_{\R^N}\frac{u^p\qty(y)}{\abs{x-y}^λ}\odif{y} u^{p-1}\…
Nondegeneracy of positive bubble solutions for generalized energy-critical Hartree equations
Xuemei Li, Chenxi Liu, Xingdong Tang +1
In this paper, we show the nondegeneracy of positive bubble solutions for generalized energy-critical Hartree equations (NLH) \begin{equation*} -{Δu}\sts{x} -{\bmα}\sts{N,λ} \int_{…
Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in
Xuemei Li, Xingdong Tang, Guixiang Xu
We prove that any positive solution for the critical nonlinear Hartree equation $$-\Laplacian\fct{u}{x} -\int_{\R^6} \frac{\abs{\fct{u}{y}}^2 }{ \abs{x-y}^4 }\odif{y} \,\fct{u}{x}=…
Minimal mass blow-up solutions for the -critical NLS with the Delta potential for radial data in one dimension
Xingdong Tang, Guixiang Xu
We consider the -critical nonlinear Schrödinger equation (NLS) with the delta potential where…
Microscopic conservation laws for the derivative Nonlinear Schrödinger equation
Xingdong Tang, Guixiang Xu
Compared with macroscopic conservation law for the solution of the derivative nonlinear Schrödingger equation (DNLS) with small mass in \cite{KlausS:DNLS}, we show the correspondin…
Entire sign-changing solutions to the fractional critical Schr{ö}dinger equation
Xingdong Tang, Guixiang Xu, Chunyan Zhang +1
We consider the fractional critical Schr{ö}dinger equation (FCSE) \begin{align*} \slaplace{u}-\abs{u}^{2^{\ast}_{s}-2}u=0, \end{align*} where , , $0…
Instability of the solitary waves for the 1d NLS with an attrictive delta potential in the degenerate case
Xingdong Tang, Guixiang Xu
In this paper, we show the orbital instability of the solitary waves of the 1d NLS with an attractive delta potential () \begin{equation*} ıu_t+u_{xx}+γδu+\abs{u}…
Instability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate case
Changxing Miao, Xingdong Tang, Guixiang Xu
In this paper, we develop the modulation analysis, the perturbation argument and the Virial identity similar as those in \cite{MartelM:Instab:gKdV} to show the orbital instability…
Solitary waves for nonlinear Schrödinger equation with derivative
Changxing Miao, Xingdong Tang, Guixiang Xu
In this paper, we characterize a family of solitary waves for NLS with derivative (DNLS) by the structue analysis and the variational argument. Since (DNLS) doesn't enjoy the Galil…
Stability of the sum of two solitary waves for (gDNLS) in the energy space
Xingdong Tang, Guixiang Xu
In this paper, we continue the study in \cite{MiaoTX:DNLS:Stab}. We use the perturbation argument, modulational analysis and the energy argument in \cite{MartelMT:Stab:gKdV, Martel…
Stability of the traveling waves for the derivative Schrödinger equation in the energy space
Changxing Miao, Xingdong Tang, Guixiang Xu
In this paper, we continue the study of the dynamics of the traveling waves for nonlinear Schrödinger equation with derivative (DNLS) in the energy space. Under some technical assu…