Energy identity for approximations of harmonic maps from surfaces
Abstract
Description
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.
21 pages, statement of Theorem 1.1 corrected, to appear in Trans. Amer. Math. Soc
21 pages, statement of Theorem 1.1 corrected, to appear in Trans. Amer. Math. Soc