5 papers · 1 filter
Harmonic maps with free boundary from degenerating bordered Riemann surfaces
Lei Liu, Chong Song, Miaomiao Zhu
We study the blow-up analysis and qualitative behavior for a sequence of harmonic maps with free boundary from degenerating bordered Riemann surfaces with uniformly bounded energy.…
Global existence of the harmonic map heat flow into Lorentzian manifolds
Xiaoli Han, Juergen Jost, Lei Liu +1
We investigate a parabolic-elliptic system for maps from a compact Riemann surface into a Lorentzian manifold with a warped product metric. That s…
The qualitative behavior at the free boundary for approximate harmonic maps from surfaces
Juergen Jost, Lei Liu, Miaomiao Zhu
Let be a sequence of maps from a compact Riemann surface with smooth boundary to a general compact Riemannian manifold with free boundary on a smooth submanifold…
Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary
Juergen Jost, Lei Liu, Miaomiao Zhu
For a sequence of coupled fields from a compact Riemann surface with smooth boundary to a general compact Riemannian manifold with uniformly bounded energy and…
A global weak solution to the Lorentzian harmonic map flow
Xiaoli Han, Lei Liu, Liang Zhao
We investigate a parabolic-elliptic system which is related to a harmonic map from a compact Riemann surface with a smooth boundary into a Lorentzian manifold with a warped product…