Divergent operator with degeneracy and related sharp inequalities

doi:10.1016/j.jfa.2021.109294

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	Divergent operator with degeneracy and related sharp inequalities
	Dou, Jingbo 1; Sun, Liming 2; Wang, Lei 2,3,4; Zhu, Meijun 4
	2022-01-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	282 期号:2 页码:85
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.
关键词	Divergent operator Sharp weighted Sobolev inequality Baouendi-Grushin operator Moving sphere method
DOI	10.1016/j.jfa.2021.109294
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000715369800002
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59537
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.