✦ LIBER ✦

-energy integral and uniqueness of harmonic maps

✍ Scribed by Guowu Yao

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 159 KB
Volume: 278
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310294

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✦ Synopsis

Abstract

In this paper, we introduce a new energy functional, $\bar \partial $‐energy functional, instead of the total energy functional to investigate the uniqueness of harmonic maps with respect to any given metric on the unit disk. Even in the setting that the Hopf differentials of harmonic maps are not integrable, certain uniqueness theorems of harmonic maps are obtained, which improve a result due to Marković and Mateljević in 1999. Moreover, a generalized energy‐minimizing property of harmonic maps is discussed. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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