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https://repositorio.ufba.br/handle/ri/13298| metadata.dc.type: | Artigo de Periódico |
| Title: | A Jenkins-Serrin theorem in M 2 × ℝ |
| Other Titles: | Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society |
| Authors: | Pinheiro, Ana Lúcia |
| metadata.dc.creator: | Pinheiro, Ana Lúcia |
| Abstract: | In 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. |
| Keywords: | Minimal graphs Product spaces |
| metadata.dc.publisher.country: | Brasil |
| metadata.dc.rights: | Acesso Aberto |
| URI: | http://repositorio.ufba.br/ri/handle/ri/13298 |
| Issue Date: | 2009 |
| Appears in Collections: | Artigo Publicado em Periódico (IME) |
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