KMS Of Academy of mathematics and systems sciences, CAS
| Divergent operator with degeneracy and related sharp inequalities | |
| Dou, Jingbo1; Sun, Liming2; Wang, Lei2,3,4; Zhu, Meijun4 | |
| 2022-01-15 | |
| Source Publication | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| ISSN | 0022-1236 |
| Volume | 282Issue:2Pages:85 |
| Abstract | In this paper we classify all nonnegative extremal functions to a sharp weighted Sobolev inequality on the upper half space, which involves a divergent operator with degeneracy on the boundary. As an application of the results, we derive a sharp Sobolev type inequality involving Baouendi-Grushin operator, and classify certain extremal functions for all tau > 0 and m not equal 2 or n not equal 1. (c) 2021 Elsevier Inc. All rights reserved. |
| Keyword | Divergent operator Sharp weighted Sobolev inequality Baouendi-Grushin operator Moving sphere method |
| DOI | 10.1016/j.jfa.2021.109294 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11571344] ; Natural Science Basic Research Plan for Distinguished Young Scholars in Shaanxi Province of China[2019JC-19] ; Fundamental Research Funds for the Central Universities[GK202101008] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000715369800002 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59537 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Wang, Lei |
| Affiliation | 1.Shaanxi Normal Univ, Sch Math & Stat, Xian 710119, Shaanxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Univ Oklahoma, Dept Math, Norman, OK 73019 USA |
| Recommended Citation GB/T 7714 | Dou, Jingbo,Sun, Liming,Wang, Lei,et al. Divergent operator with degeneracy and related sharp inequalities[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2022,282(2):85. |
| APA | Dou, Jingbo,Sun, Liming,Wang, Lei,&Zhu, Meijun.(2022).Divergent operator with degeneracy and related sharp inequalities.JOURNAL OF FUNCTIONAL ANALYSIS,282(2),85. |
| MLA | Dou, Jingbo,et al."Divergent operator with degeneracy and related sharp inequalities".JOURNAL OF FUNCTIONAL ANALYSIS 282.2(2022):85. |
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