SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS

doi:10.1142/S0219199711004427

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	SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS
	Li, Jiayu1,2 ; Zhu, Xiangrong 3
	2011-10-01
发表期刊	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN	0219-1997
卷号	13 期号:5 页码:741-763
摘要	In this paper, we consider the elliptic systems Delta u = -Omega . del u + f, where u is an element of W-1,W-2(R-2, R-K) and f is an element of Lln(+) L, and Omega belongs to L-2(R-2, M-K(R) circle times R-2) which is antisymmetric. In the first part we prove a compactness theorem for this system. As a corollary, we obtain the compactness theorem for a sequence of mappings from a Riemannian surface to a compact Riemannian manifold with tension fields bounded in Lln(+) L. In the second part we prove the energy identity for a sequence of mappings from a surface to a sphere with tension fields bounded in Lln(+) L. In the last section we construct a blow-up sequence of mappings from B-1 to S-2 with tension fields bounded in Lln(+) L but there exists a neck with positive length during blowing up.
关键词	Energy identity approximate harmonic maps tension field Riemann surface
DOI	10.1142/S0219199711004427
语种	英语
资助项目	NSFC[11071236] ; NSFC[11131007] ; NSFC[11101372]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000296624200002
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11780
专题	数学所
通讯作者	Li, Jiayu
作者单位	1.Univ Sci & Technol China, Wu Wenjun Key Lab, Sch Math Sci, Hefei 230026, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China
推荐引用方式 GB/T 7714	Li, Jiayu,Zhu, Xiangrong. SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2011,13(5):741-763.
APA	Li, Jiayu,&Zhu, Xiangrong.(2011).SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,13(5),741-763.
MLA	Li, Jiayu,et al."SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 13.5(2011):741-763.