KMS Of Academy of mathematics and systems sciences, CAS
| Liouville theorem for poly-harmonic functions on R-+(n) | |
| Dai, Wei1,2; Qin, Guolin3,4 | |
| 2020-04-15 | |
| Source Publication | ARCHIV DER MATHEMATIK
 |
| ISSN | 0003-889X |
| Pages | 11 |
| Abstract | 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. |
| Keyword | Liouville theorems Poly-harmonic functions Super poly-harmonic properties Harmonic asymptotic expansions Navier problems |
| DOI | 10.1007/s00013-020-01464-1 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NNSF of China[11971049] ; Fundamental Research Funds for the Central Universities ; State Scholarship Fund of China[201806025011] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000526656000001 |
| Publisher | SPRINGER BASEL AG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51170 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Dai, Wei |
| Affiliation | 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 |
| Recommended Citation 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. |
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