LIOUVILLE THEOREMS ON THE UPPER HALF SPACE

doi:10.3934/dcds.2020231

	LIOUVILLE THEOREMS ON THE UPPER HALF SPACE
	Wang, Lei 1,2,3; Zhu, Meijun 3
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	2020-09-01
卷号	40 期号:9 页码:5373-5381
关键词	Divergent operator Liouville theorem extension problem positive kernels modified Kelvin transformation moving sphere method
ISSN号	1078-0947
DOI	10.3934/dcds.2020231
英文摘要	In this paper we shall establish some Liouville theorems for solutions bounded from below to certain linear elliptic equations on the upper half space. In particular, we show that for a is an element of Z(0, 1) constants are the only C-1 up to the boundary positive solutions to div(x(n)(a) del u) = 0 on the upper half space.
资助项目	China Scholarship Council ; National Natural Science Foundation of China[11571344]
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000539409300012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51660]
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Oklahoma, Dept Math, Norman, OK 73019 USA
推荐引用方式 GB/T 7714	Wang, Lei,Zhu, Meijun. LIOUVILLE THEOREMS ON THE UPPER HALF SPACE[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2020,40(9):5373-5381.
APA	Wang, Lei,&Zhu, Meijun.(2020).LIOUVILLE THEOREMS ON THE UPPER HALF SPACE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,40(9),5373-5381.
MLA	Wang, Lei,et al."LIOUVILLE THEOREMS ON THE UPPER HALF SPACE".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 40.9(2020):5373-5381.