2 papers
math.AP2025
Global dynamics above the ground state for the energy-critical Hartree equation with radial data
Xuemei Li, Chenxi Liu, Guixiang Xu
Based on the concentration-compactness-rigidity argument in \cite{KenM:NLS,KenM:NLW} and the non-degeneracy of the ground state in \cite{LLTX:Nondeg,LLTX:g-Hart,LTX:Nondeg}, long t…
math.AP2024
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*} -{Îu}\sts{x} -{\bmα}\sts{N,λ} \in…