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Energy identity for approximations of harmonic maps from surfaces
Author(s):
Tobias
Lamm
Journal:
Trans. Amer. Math. Soc.
362
(2010),
4077-4097.
MSC (2010):
Primary 58E20;
Secondary 35J60, 53C43
Posted:
March 23, 2010
MathSciNet review:
2608396
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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.
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Additional Information:
Tobias
Lamm
Affiliation:
Max-Planck-Institute for Gravitational Physics, Am Mühlenberg 1, 14476 Golm, Germany
Address at time of publication:
Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, British Columbia, Canada V6T 1Z2
Email:
tlamm@math.ubc.ca
DOI:
10.1090/S0002-9947-10-04912-3
PII:
S 0002-9947(10)04912-3
Keywords:
Geometric analysis,
harmonic maps,
energy identity
Received by editor(s):
December 17, 2007.
Posted:
March 23, 2010
Additional Notes:
The author would like to thank Yuxiang Li for pointing out an error in an earlier version of the paper.
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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