Energy identity for approximations of harmonic maps from surfaces

Lamm, Tobias

doi:10.1090/S0002-9947-10-04912-3

Energy identity for approximations of harmonic maps from surfaces
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Trans. Amer. Math. Soc. 362 (2010), 4077-4097 Request permission

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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