Mathematics – Analysis of PDEs
Scientific paper
2007-05-31
Mathematics
Analysis of PDEs
21 pages, statement of Theorem 1.1 corrected, to appear in Trans. Amer. Math. Soc
Scientific paper
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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