p-Harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold
DC Field | Value | Language |
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dc.contributor.author | Dung, Nguyen Thac | - |
dc.contributor.author | Seo, Keomkyo | - |
dc.date.available | 2021-02-22T11:12:29Z | - |
dc.date.issued | 2017-08 | - |
dc.identifier.issn | 0373-3114 | - |
dc.identifier.issn | 1618-1891 | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/8210 | - |
dc.description.abstract | In this paper, we study the connectedness at infinity of complete submanifolds by using the theory of p-harmonic function. For lower-dimensional cases, we prove that if M is a complete orientable noncompact hypersurface in Rn+1 and if delta-stability inequality holds on M, then M has only one p-nonparabolic end. It is also proved that if M-n is a complete noncompact submanifold in R-n vertical bar k with sufficiently small L-n norm of the traceless second fundamental form, then M has only one p-nonparabolic end. Moreover, we obtain a lower bound of the fundamental tone of the p Laplace operator on complete submanifolds in a Riemannian manifold. | - |
dc.format.extent | 23 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | p-Harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold | - |
dc.type | Article | - |
dc.publisher.location | 독일 | - |
dc.identifier.doi | 10.1007/s10231-016-0625-0 | - |
dc.identifier.scopusid | 2-s2.0-84995810358 | - |
dc.identifier.wosid | 000406034400013 | - |
dc.identifier.bibliographicCitation | ANNALI DI MATEMATICA PURA ED APPLICATA, v.196, no.4, pp 1489 - 1511 | - |
dc.citation.title | ANNALI DI MATEMATICA PURA ED APPLICATA | - |
dc.citation.volume | 196 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 1489 | - |
dc.citation.endPage | 1511 | - |
dc.type.docType | Article | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | STABLE MINIMAL HYPERSURFACES | - |
dc.subject.keywordPlus | TOTAL SCALAR CURVATURE | - |
dc.subject.keywordPlus | ISOPERIMETRIC-INEQUALITIES | - |
dc.subject.keywordPlus | 1ST EIGENVALUE | - |
dc.subject.keywordPlus | 1-FORMS | - |
dc.subject.keywordPlus | SOBOLEV | - |
dc.subject.keywordPlus | ENDS | - |
dc.subject.keywordAuthor | p-Harmonic function | - |
dc.subject.keywordAuthor | p-Nonparabolicity | - |
dc.subject.keywordAuthor | delta-Stability | - |
dc.subject.keywordAuthor | The first eigenvalue | - |
dc.subject.keywordAuthor | Connectedness at infinity | - |
dc.identifier.url | https://link.springer.com/article/10.1007%2Fs10231-016-0625-0 | - |
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