2 papers
math.AP2022
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…
math.AP2021
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}=…