partial derivative-energy integral and uniqueness of harmonic maps

doi:10.1002/mana.200310294

CSpace

	partial derivative-energy integral and uniqueness of harmonic maps
	Yao, GW
	2005
发表期刊	MATHEMATISCHE NACHRICHTEN
ISSN	0025-584X
卷号	278 期号:9 页码:1086-1096
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.
关键词	Main Inequality harmonic map partial derivative-energy integral
DOI	10.1002/mana.200310294
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000230514900010
出版者	WILEY-V C H VERLAG GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1924
专题	中国科学院数学与系统科学研究院
通讯作者	Yao, GW
作者单位	1.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yao, GW. partial derivative-energy integral and uniqueness of harmonic maps[J]. MATHEMATISCHE NACHRICHTEN,2005,278(9):1086-1096.
APA	Yao, GW.(2005).partial derivative-energy integral and uniqueness of harmonic maps.MATHEMATISCHE NACHRICHTEN,278(9),1086-1096.
MLA	Yao, GW."partial derivative-energy integral and uniqueness of harmonic maps".MATHEMATISCHE NACHRICHTEN 278.9(2005):1086-1096.