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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