A Jenkins-Serrin theorem in M 2 × ℝ

Detalhes bibliográficos
Autor(a) principal: Pinheiro, Ana Lúcia
Data de Publicação: 2009
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/13298
Resumo: Texto completo: acesso restrito. p. 117-148
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spelling Pinheiro, Ana Lúcia2013-10-29T15:20:29Z20091678-7544http://repositorio.ufba.br/ri/handle/ri/13298v. 40, n. 1Texto completo: acesso restrito. p. 117-148In this paper we study minimal surfaces in M × ℝ, where M is a complete surface. Our main result is a Jenkins-Serrin type theorem which establishes necessary and sufficient conditions for the existence of certain minimal vertical graphs in M × ℝ. We also prove that there exists a unique solution of the Plateau’s problem in M × ℝ whose boundary is a Nitsche graph and we construct a Scherk-type surface in this space.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-10-29T15:20:28Z No. of bitstreams: 1 art%3A10.1007%2Fs00574-009-0007-y.pdf: 316243 bytes, checksum: fb9a51dc5870b96b7fb3a88b9b16fe00 (MD5)Made available in DSpace on 2013-10-29T15:20:29Z (GMT). No. of bitstreams: 1 art%3A10.1007%2Fs00574-009-0007-y.pdf: 316243 bytes, checksum: fb9a51dc5870b96b7fb3a88b9b16fe00 (MD5) Previous issue date: 2009http://dx.doi.org/10.1007/s00574-009-0007-yreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAMinimal graphsProduct spacesA Jenkins-Serrin theorem in M 2 × ℝBoletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Societyinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01Brasilinfo:eu-repo/semantics/openAccessengORIGINALart%3A10.1007%2Fs00574-009-0007-y.pdfart%3A10.1007%2Fs00574-009-0007-y.pdfapplication/pdf316243https://repositorio.ufba.br/bitstream/ri/13298/1/art%253A10.1007%252Fs00574-009-0007-y.pdffb9a51dc5870b96b7fb3a88b9b16fe00MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/13298/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTart%3A10.1007%2Fs00574-009-0007-y.pdf.txtart%3A10.1007%2Fs00574-009-0007-y.pdf.txtExtracted texttext/plain53802https://repositorio.ufba.br/bitstream/ri/13298/3/art%253A10.1007%252Fs00574-009-0007-y.pdf.txt4d40cf20525458b4fab0d89a8031ab49MD53ri/132982022-03-10 13:59:54.675oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-03-10T16:59:54Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv A Jenkins-Serrin theorem in M 2 × ℝ
dc.title.alternative.pt_BR.fl_str_mv Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society
title A Jenkins-Serrin theorem in M 2 × ℝ
spellingShingle A Jenkins-Serrin theorem in M 2 × ℝ
Pinheiro, Ana Lúcia
Minimal graphs
Product spaces
title_short A Jenkins-Serrin theorem in M 2 × ℝ
title_full A Jenkins-Serrin theorem in M 2 × ℝ
title_fullStr A Jenkins-Serrin theorem in M 2 × ℝ
title_full_unstemmed A Jenkins-Serrin theorem in M 2 × ℝ
title_sort A Jenkins-Serrin theorem in M 2 × ℝ
author Pinheiro, Ana Lúcia
author_facet Pinheiro, Ana Lúcia
author_role author
dc.contributor.author.fl_str_mv Pinheiro, Ana Lúcia
dc.subject.por.fl_str_mv Minimal graphs
Product spaces
topic Minimal graphs
Product spaces
description Texto completo: acesso restrito. p. 117-148
publishDate 2009
dc.date.issued.fl_str_mv 2009
dc.date.accessioned.fl_str_mv 2013-10-29T15:20:29Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/13298
dc.identifier.issn.none.fl_str_mv 1678-7544
dc.identifier.number.pt_BR.fl_str_mv v. 40, n. 1
identifier_str_mv 1678-7544
v. 40, n. 1
url http://repositorio.ufba.br/ri/handle/ri/13298
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.country.fl_str_mv Brasil
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1007/s00574-009-0007-y
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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