126 citations · 755 across the 30 of their papers we have counts for
32 papers
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_{…
A Mikhlin--Hörmander multiplier theorem for the partial harmonic oscillator
Xiaoyan Su, Ying Wang, Guixiang Xu
We prove a Mikhlin--Hörmander multiplier theorem for the partial harmonic oscillator $H_{\textup{par}}=-\pa_ρ^2-Δ_x+|x|^2$ for by using the Littlewood--Pale…
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…
A Limiting absorption principle for high-order Schrödinger operators in critical spaces
Xiaoyan Su, Chengbin Xu, Guixiang Xu +1
In this paper, we prove a limiting absorption principle for high-order Schrödinger operators with a large class of potentials which generalize some results by A. Ionescu and W. Sch…