Showing math.APShow all
2 papers · 1 filter
math.AP2026
Construction of two-bubble solutions for the energy-critical Hartree equation
Jacek Jendrej, Xuemei Li, Guixiang Xu
We construct a pure two-bubble solution for the focusing, energy-critical Hartree equation in space dimension . The constructed solution is spherically symmetric, global…
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…