LIOUVILLE THEOREMS ON THE UPPER HALF SPACE

doi:10.3934/dcds.2020231

CSpace

	LIOUVILLE THEOREMS ON THE UPPER HALF SPACE
	Wang, Lei 1,2,3; Zhu, Meijun 3
	2020-09-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	40 期号:9 页码:5373-5381
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.
关键词	Divergent operator Liouville theorem extension problem positive kernels modified Kelvin transformation moving sphere method
DOI	10.3934/dcds.2020231
收录类别	SCI
语种	英语
资助项目	China Scholarship Council ; National Natural Science Foundation of China[11571344]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000539409300012
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51661
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.