Energy identity for approximations of harmonic maps from surfaces

Lamm, Tobias

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Energy identity for approximations of harmonic maps from surfaces

MPS-Authors

Lamm, Tobias
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

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: https://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.