DC Field | Value | Language |
---|---|---|
dc.contributor.author | Morabito, Filippo | ko |
dc.contributor.author | Sicbaldi, Pieralberto | ko |
dc.date.accessioned | 2016-06-28T02:05:25Z | - |
dc.date.available | 2016-06-28T02:05:25Z | - |
dc.date.created | 2016-03-02 | - |
dc.date.created | 2016-03-02 | - |
dc.date.issued | 2016-01 | - |
dc.identifier.citation | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, v.22, no.1, pp.1 - 28 | - |
dc.identifier.issn | 1292-8119 | - |
dc.identifier.uri | http://hdl.handle.net/10203/208021 | - |
dc.description.abstract | We prove the existence of a countable family of Delaunay type domains Omega(t) subset of M-n x R, t is an element of N, where M-n is the Riemannian manifold S-n or H-n and n >= 2, bifurcating from the cylinder B-n x R (where B-n is a geodesic ball in M-n) for which the first eigenfunction of the Laplace-Beltrami operator with zero Dirichlet boundary condition also has constant Neumann data at the boundary. In other words, the overdetermined problem {Delta(g) u + lambda u = 0 in ohm(t) u = 0 on partial derivative ohm(t) g(del u,v) = const. on partial derivative ohm(t) has a bounded positive solution for some positive constant lambda, where g is the standard metric in M-n x R. The domains Omega(t) are rotationally symmetric and periodic with respect to the R-axis of the cylinder and the sequence {Omega(t)}(t) converges to the cylinder B-n x R. | - |
dc.language | English | - |
dc.publisher | EDP SCIENCES S A | - |
dc.subject | MINIMAL-SURFACES | - |
dc.subject | FREE-BOUNDARY | - |
dc.subject | SYMMETRY | - |
dc.subject | SPACE | - |
dc.title | DELAUNAY TYPE DOMAINS FOR AN OVERDETERMINED ELLIPTIC PROBLEM IN S-n x R AND H-n x R | - |
dc.type | Article | - |
dc.identifier.wosid | 000369397300001 | - |
dc.identifier.scopusid | 2-s2.0-84958964435 | - |
dc.type.rims | ART | - |
dc.citation.volume | 22 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 1 | - |
dc.citation.endingpage | 28 | - |
dc.citation.publicationname | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | - |
dc.identifier.doi | 10.1051/cocv/2014064 | - |
dc.contributor.localauthor | Morabito, Filippo | - |
dc.contributor.nonIdAuthor | Sicbaldi, Pieralberto | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | MINIMAL-SURFACES | - |
dc.subject.keywordPlus | FREE-BOUNDARY | - |
dc.subject.keywordPlus | SYMMETRY | - |
dc.subject.keywordPlus | SPACE | - |
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