Harmonic maps with free boundary from degenerating bordered Riemann surfaces
Differential Geometry
2019-04-03 v1
Abstract
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. With the help of Pohozaev type constants associated to harmonic maps defined on degenerating collars, including vertical boundary collars and horizontal boundary collars, we establish a generalized energy identity.
Keywords
Cite
@article{arxiv.1904.01539,
title = {Harmonic maps with free boundary from degenerating bordered Riemann surfaces},
author = {Lei Liu and Chong Song and Miaomiao Zhu},
journal= {arXiv preprint arXiv:1904.01539},
year = {2019}
}