SHARP GRADIENT STABILITY FOR THE SOBOLEV | |
Figalli, Alessio2; Zhang, Yi ru-ya1,2 | |
刊名 | DUKE MATHEMATICAL JOURNAL |
2022-09-01 | |
卷号 | 171期号:12页码:2407-2459 |
关键词 | Appendix B Spectral analysis 2451 [2] [3] [6] [8]-[10] [25] [26] [29] [31] [35]-[37]) isoperimetric inequalities (see |
ISSN号 | 0012-7094 |
DOI | 10.1215/00127094-2022-0051 |
英文摘要 | 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. |
资助项目 | European Research Council[721675] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | DUKE UNIV PRESS |
WOS记录号 | WOS:000861051200001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60923] |
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Swiss Fed Inst Technol, Dept Math, Zurich, Switzerland |
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. |
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