中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Liouville theorem for poly-harmonic functions on R-+(n)

文献类型:期刊论文

作者Dai, Wei1,4; Qin, Guolin2,3
刊名ARCHIV DER MATHEMATIK
出版日期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
DOI10.1007/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
WOS记录号WOS:000526656000001
出版者SPRINGER BASEL AG
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.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
4.Univ Paris 13, UMR 7539, LAGA, Paris, France
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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