SHARP GRADIENT STABILITY FOR THE SOBOLEV

doi:10.1215/00127094-2022-0051

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	SHARP GRADIENT STABILITY FOR THE SOBOLEV
	Figalli, Alessio 1; Zhang, Yi ru-ya 1,2
	2022-09-01
发表期刊	DUKE MATHEMATICAL JOURNAL
ISSN	0012-7094
卷号	171 期号:12 页码:2407-2459
摘要	We prove a sharp quantitative version of the p-Sobolev inequality for any 1 < p < n, with a control on the strongest possible distance from the class of optimal functions. Surprisingly, the sharp exponent is constant for p < 2, while it depends on p for p > 2.
关键词	Appendix B Spectral analysis 2451 [2] [3] [6] [8]-[10] [25] [26] [29] [31] [35]-[37]) isoperimetric inequalities (see
DOI	10.1215/00127094-2022-0051
收录类别	SCI
语种	英语
资助项目	European Research Council[721675]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000861051200001
出版者	DUKE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60924
专题	中国科学院数学与系统科学研究院
通讯作者	Figalli, Alessio
作者单位	1.Swiss Fed Inst Technol, Dept Math, Zurich, Switzerland 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Figalli, Alessio,Zhang, Yi ru-ya. SHARP GRADIENT STABILITY FOR THE SOBOLEV[J]. DUKE MATHEMATICAL JOURNAL,2022,171(12):2407-2459.
APA	Figalli, Alessio,&Zhang, Yi ru-ya.(2022).SHARP GRADIENT STABILITY FOR THE SOBOLEV.DUKE MATHEMATICAL JOURNAL,171(12),2407-2459.
MLA	Figalli, Alessio,et al."SHARP GRADIENT STABILITY FOR THE SOBOLEV".DUKE MATHEMATICAL JOURNAL 171.12(2022):2407-2459.