Liouville theorem for poly-harmonic functions on R-+(n)

doi:10.1007/s00013-020-01464-1

	Liouville theorem for poly-harmonic functions on R-+(n)
	Dai, Wei 1,2; Qin, Guolin 3,4
刊名	ARCHIV DER MATHEMATIK
	2020-04-15
页码	11
关键词	Liouville theorems Poly-harmonic functions Super poly-harmonic properties Harmonic asymptotic expansions Navier problems
ISSN号	0003-889X
DOI	10.1007/s00013-020-01464-1
英文摘要	In this paper, we will prove a Liouville theorem for poly-harmonic functions on R-+(n) with Navier boundary conditions, that is, the nonnegative poly-harmonic functions u satisfying u(x) = o(vertical bar x vertical bar(3)) at infinity must assume the form u(x) = Cx(n) in <(R-+(n))over bar>, where n >= 2 and C is a nonnegative constant. The assumption u(x) = o(vertical bar x vertical bar(3)) at infinity is optimal for us to derive the super poly-harmonic properties of u.
资助项目	NNSF of China[11971049] ; Fundamental Research Funds for the Central Universities ; State Scholarship Fund of China[201806025011]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER BASEL AG
WOS记录号	WOS:000526656000001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51169]
专题	中国科学院数学与系统科学研究院
通讯作者	Dai, Wei
作者单位	1.Beihang Univ BUAA, Sch Math Sci, Beijing 100083, Peoples R China 2.Univ Paris 13, UMR 7539, LAGA, Paris, France 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Dai, Wei,Qin, Guolin. Liouville theorem for poly-harmonic functions on R-+(n)[J]. ARCHIV DER MATHEMATIK,2020:11.
APA	Dai, Wei,&Qin, Guolin.(2020).Liouville theorem for poly-harmonic functions on R-+(n).ARCHIV DER MATHEMATIK,11.
MLA	Dai, Wei,et al."Liouville theorem for poly-harmonic functions on R-+(n)".ARCHIV DER MATHEMATIK (2020):11.