BUBBLING LOCATION FOR SEQUENCES OF APPROXIMATE f-HARMONIC MAPS FROM SURFACES

doi:10.1142/S0129167X10006136

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	BUBBLING LOCATION FOR SEQUENCES OF APPROXIMATE f-HARMONIC MAPS FROM SURFACES
	Li, Yuxiang 1; Wang, Youde2
	2010-04-01
发表期刊	INTERNATIONAL JOURNAL OF MATHEMATICS
ISSN	0129-167X
卷号	21 期号:4 页码:475-495
摘要	Let f be a positive smooth function on a closed Riemann surface (M, g). The f-energy of a map u from M to a Riemannian manifold (N, h) is defined as E(f)(u) = integral(M) f vertical bar del u vertical bar(2)dV(g), and its L(2)-gradient is: tau(f)(u) = f tau(u) + del f . del u. We will study the blow-up properties of some approximate f-harmonic map sequences in this paper. For a sequence u(k) : M -> N with parallel to tau(f)(u(k))parallel to(L2) < C(1) and E(f)(u(k)) < C(2), we will show that, if the sequence is not compact, then it must blow-up at some critical points of f or some concentrate points of vertical bar tau(f)(u(k))vertical bar(2)dV(g). For a minimizing alpha-f-harmonic map sequence in some homotopy class of maps from M into N we show that, if the sequence is not compact, the blow-up points must be the minimal point of f and the energy identity holds true.
关键词	f-Harmonic map blow-up bubble alpha-harmonic map
DOI	10.1142/S0129167X10006136
语种	英语
资助项目	National Science Foundation of China[10801082] ; Specialized Research Fund for the Doctoral Program of Higher Education[200800031078] ; 973 Project of China[2006CB805902]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000277882200005
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/10749
专题	数学所
通讯作者	Li, Yuxiang
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Yuxiang,Wang, Youde. BUBBLING LOCATION FOR SEQUENCES OF APPROXIMATE f-HARMONIC MAPS FROM SURFACES[J]. INTERNATIONAL JOURNAL OF MATHEMATICS,2010,21(4):475-495.
APA	Li, Yuxiang,&Wang, Youde.(2010).BUBBLING LOCATION FOR SEQUENCES OF APPROXIMATE f-HARMONIC MAPS FROM SURFACES.INTERNATIONAL JOURNAL OF MATHEMATICS,21(4),475-495.
MLA	Li, Yuxiang,et al."BUBBLING LOCATION FOR SEQUENCES OF APPROXIMATE f-HARMONIC MAPS FROM SURFACES".INTERNATIONAL JOURNAL OF MATHEMATICS 21.4(2010):475-495.