中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Divergent operator with degeneracy and related sharp inequalities

文献类型：期刊论文

作者Dou, Jingbo1; Sun, Liming2; Wang, Lei2,3,4; Zhu, Meijun4
刊名JOURNAL OF FUNCTIONAL ANALYSIS
出版日期2022-01-15
卷号282期号:2页码:85
关键词Divergent operator Sharp weighted Sobolev inequality Baouendi-Grushin operator Moving sphere method
ISSN号0022-1236
DOI10.1016/j.jfa.2021.109294
英文摘要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.
资助项目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研究方向Mathematics
语种英语
WOS记录号WOS:000715369800002
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59536]  
专题中国科学院数学与系统科学研究院
通讯作者Wang, Lei
作者单位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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。