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	partial derivative-energy integral and uniqueness of harmonic maps
	Yao, GW
	2010-05-06 ; 2010-05-06
关键词	Main Inequality harmonic map partial derivative-energy integral MAPPINGS GERSTENHABER PRINCIPLE RAUCH Mathematics
中文摘要	In this paper, we introduce a new energy functional, partial derivative-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 Markovic and Mateljevic in 1999. Moreover, a generalized energy-minimizing property of harmonic maps is discussed. (C) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
语种	英语 ; 英语
出版者	WILEY-V C H VERLAG GMBH ; WEINHEIM ; PO BOX 10 11 61, D-69451 WEINHEIM, GERMANY
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13974]
专题	清华大学
推荐引用方式 GB/T 7714	Yao, GW. partial derivative-energy integral and uniqueness of harmonic maps[J],2010, 2010.
APA	Yao, GW.(2010).partial derivative-energy integral and uniqueness of harmonic maps..
MLA	Yao, GW."partial derivative-energy integral and uniqueness of harmonic maps".(2010).

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