Some characterization, uniqueness and existence results for euclidean graphs of constant mean curvature with planar boundary

Detalhes bibliográficos
Autor(a) principal: Ripoll, Jaime Bruck
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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spelling 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
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/27489
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url http://hdl.handle.net/10183/27489
dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Pacific journal of mathematics. Berkeley. Vol. 198, no. 1 (2001), p. 175-196.
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