JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY

	JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY
	Li, Yuxiang 1; Wei, Guodong 3; Zhou, Zhipeng 2
刊名	ASIAN JOURNAL OF MATHEMATICS
	2020-10-01
卷号	24 期号:5 页码:759-782
关键词	John-Nirenberg Radius scalar curvature equation Blow up analysis
ISSN号	1093-6106
英文摘要	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.
资助项目	NSFC[11731001]
WOS研究方向	Mathematics
语种	英语
出版者	INT PRESS BOSTON, INC
WOS记录号	WOS:000628753300002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58345]
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, 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.