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Energy identity for approximations of harmonic maps from surfaces
Tobias Lamm
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Source: Crossref
Published: Mar 23, 2010
DOI: 10.1090/s0002-9947-10-04912-3
Open original source ↗Source 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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