JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY

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	JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY
	Li, Yuxiang 1; Wei, Guodong 2; Zhou, Zhipeng 3
	2020-10-01
发表期刊	ASIAN JOURNAL OF MATHEMATICS
ISSN	1093-6106
卷号	24 期号:5 页码:759-782
摘要	Given a positive function u epsilon W-1,W-n, we define its John-Nirenberg radius at point x to be the supreme of the radius such that integral(Bt(x)) vertical bar del log u vertical bar(n) < epsilon(n)(0) when n > 2, and integral(Bt(x)) vertical bar del u vertical bar(2) < epsilon(2)(0) when n = 2. We will show that for a collapsing sequence of metrics in a fixed conformal class under some curvature conditions, the radius is bounded below by a positive constant. As applications, we will study the convergence of a conformal metric sequence on a 4-manifold with bounded parallel to K parallel to(W1,2), and prove a generalized H ' elein's Convergence Theorem.
关键词	John-Nirenberg Radius scalar curvature equation Blow up analysis
收录类别	SCI
语种	英语
资助项目	NSFC[11731001]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000628753300002
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58346
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Yuxiang
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Yuxiang,Wei, Guodong,Zhou, Zhipeng. JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY[J]. ASIAN JOURNAL OF MATHEMATICS,2020,24(5):759-782.
APA	Li, Yuxiang,Wei, Guodong,&Zhou, Zhipeng.(2020).JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY.ASIAN JOURNAL OF MATHEMATICS,24(5),759-782.
MLA	Li, Yuxiang,et al."JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY".ASIAN JOURNAL OF MATHEMATICS 24.5(2020):759-782.