Higher order neck analysis of harmonic maps and its applications
Differential Geometry
2019-04-17 v1 Analysis of PDEs
Abstract
In this paper, we prove some refined estimate in the neck region when a sequence of harmonic maps from surfaces blow up. The new estimate allows us to see the shape of the center of the neck region. As an application, we prove an inequality about the nullity and index when blow-up occurs.
Cite
@article{arxiv.1904.07354,
title = {Higher order neck analysis of harmonic maps and its applications},
author = {Hao Yin},
journal= {arXiv preprint arXiv:1904.07354},
year = {2019}
}
Comments
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