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JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY
Li, Yuxiang1; Wei, Guodong2; Zhou, Zhipeng3
2020-10-01
Source PublicationASIAN JOURNAL OF MATHEMATICS
ISSN1093-6106
Volume24Issue:5Pages:759-782
AbstractGiven 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.
KeywordJohn-Nirenberg Radius scalar curvature equation Blow up analysis
Indexed BySCI
Language英语
Funding ProjectNSFC[11731001]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000628753300002
PublisherINT PRESS BOSTON, INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58346
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLi, Yuxiang
Affiliation1.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
Recommended Citation
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.
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