Energy identity for approximations of harmonic maps from surfaces
Analysis of PDEs
2008-09-11 v2 Differential Geometry
Abstract
We prove the energy identity for min-max sequences of the Sacks-Uhlenbeck and the biharmonic approximation of harmonic maps from surfaces into general target manifolds. The proof relies on Hopf-differential type estimates for the two approximations and on estimates for the concentration radius of bubbles.
Keywords
Cite
@article{arxiv.0705.4589,
title = {Energy identity for approximations of harmonic maps from surfaces},
author = {Tobias Lamm},
journal= {arXiv preprint arXiv:0705.4589},
year = {2008}
}
Comments
21 pages, statement of Theorem 1.1 corrected, to appear in Trans. Amer. Math. Soc