arXiv:0705.4589 Abstract | arXiv Analytics

arXiv:0705.4589 [math.AP]Abstract References Reviews Resources

Energy identity for approximations of harmonic maps from surfaces

Published 2007-05-31, updated 2008-09-11Version 2

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.

Comments: 21 pages, statement of Theorem 1.1 corrected, to appear in Trans. Amer. Math. Soc

Categories: math.AP, math.DG

Subjects: 58E20, 35J60, 53C43

Keywords: harmonic maps, energy identity, general target manifolds, hopf-differential type estimates, proof relies

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