Generalized neck analysis of harmonic maps from surfaces
Analysis of PDEs
2020-06-23 v1 Differential Geometry
Abstract
In this paper, we study the behavior of a sequence of harmonic maps from surfaces with uniformly bounded energy on the generalized neck domain. The generalized neck domain is a union of ghost bubbles and annular neck domains, which connects non-trivial bubbles. An upper bound of the energy density is proved and we use it to study the limit of the nullity and index of the sequence.
Cite
@article{arxiv.2006.11961,
title = {Generalized neck analysis of harmonic maps from surfaces},
author = {Hao Yin},
journal= {arXiv preprint arXiv:2006.11961},
year = {2020}
}