Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary
Autor(a) principal: | |
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Data de Publicação: | 2001 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/27489 |
Resumo: | We establish the existence and uniqueness of solutions to the Dirichlet problem for the cmc surface equation, including the minimal one, for zero boundary data, in certain domains of the plane. We obtain results that characterize the sphere and cmc graphs among compact embedded cmc surfaces with planar boundary satisfying certain geometric conditions. We also find conditions that imply that a compact embedded cmc surface which is a graph near the boundary is indeed a global graph. |
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Ripoll, Jaime Bruck2011-01-26T05:59:13Z20010030-8730http://hdl.handle.net/10183/27489000316987We establish the existence and uniqueness of solutions to the Dirichlet problem for the cmc surface equation, including the minimal one, for zero boundary data, in certain domains of the plane. We obtain results that characterize the sphere and cmc graphs among compact embedded cmc surfaces with planar boundary satisfying certain geometric conditions. We also find conditions that imply that a compact embedded cmc surface which is a graph near the boundary is indeed a global graph.application/pdfengPacific journal of mathematics. Berkeley. Vol. 198, no. 1 (2001), p. 175-196.CurvasGráficosProblema de DirichletSuperfícies de curvatura médiaGeometria diferencialSome characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundaryEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000316987.pdf000316987.pdfTexto completo (inglês)application/pdf238032http://www.lume.ufrgs.br/bitstream/10183/27489/1/000316987.pdfcb7e4cb769cba0d64722c39823a54890MD51TEXT000316987.pdf.txt000316987.pdf.txtExtracted Texttext/plain51284http://www.lume.ufrgs.br/bitstream/10183/27489/2/000316987.pdf.txt22e48b525809e2c62501674566967690MD52THUMBNAIL000316987.pdf.jpg000316987.pdf.jpgGenerated Thumbnailimage/jpeg1478http://www.lume.ufrgs.br/bitstream/10183/27489/3/000316987.pdf.jpg0f8b3be0e76fd78460f0efbddba4f1feMD5310183/274892021-06-26 04:42:57.178021oai:www.lume.ufrgs.br:10183/27489Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2021-06-26T07:42:57Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary |
title |
Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary |
spellingShingle |
Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary Ripoll, Jaime Bruck Curvas Gráficos Problema de Dirichlet Superfícies de curvatura média Geometria diferencial |
title_short |
Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary |
title_full |
Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary |
title_fullStr |
Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary |
title_full_unstemmed |
Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary |
title_sort |
Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary |
author |
Ripoll, Jaime Bruck |
author_facet |
Ripoll, Jaime Bruck |
author_role |
author |
dc.contributor.author.fl_str_mv |
Ripoll, Jaime Bruck |
dc.subject.por.fl_str_mv |
Curvas Gráficos Problema de Dirichlet Superfícies de curvatura média Geometria diferencial |
topic |
Curvas Gráficos Problema de Dirichlet Superfícies de curvatura média Geometria diferencial |
description |
We establish the existence and uniqueness of solutions to the Dirichlet problem for the cmc surface equation, including the minimal one, for zero boundary data, in certain domains of the plane. We obtain results that characterize the sphere and cmc graphs among compact embedded cmc surfaces with planar boundary satisfying certain geometric conditions. We also find conditions that imply that a compact embedded cmc surface which is a graph near the boundary is indeed a global graph. |
publishDate |
2001 |
dc.date.issued.fl_str_mv |
2001 |
dc.date.accessioned.fl_str_mv |
2011-01-26T05:59:13Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/27489 |
dc.identifier.issn.pt_BR.fl_str_mv |
0030-8730 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000316987 |
identifier_str_mv |
0030-8730 000316987 |
url |
http://hdl.handle.net/10183/27489 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Pacific journal of mathematics. Berkeley. Vol. 198, no. 1 (2001), p. 175-196. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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UFRGS |
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UFRGS |
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Repositório Institucional da UFRGS |
collection |
Repositório Institucional da UFRGS |
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