# Item

ITEM ACTIONSEXPORT

Released

Journal Article

#### Energy identity for approximations of harmonic maps from surfaces

##### MPS-Authors

##### External Resource

No external resources are shared

##### Fulltext (public)

0705.4589v1.pdf

(Preprint), 258KB

Lamm_2010.pdf

(Any fulltext), 2MB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Lamm, T. (2010). Energy identity for approximations of harmonic maps from surfaces.* Transactions of the American Mathematical Society,* *362*(8),
4077-4097. Retrieved from http://www.jstor.org/stable/25733357.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5FFD-F

##### Abstract

We prove the energy identity for 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.