dc.creator | Fernández Delgado, Isabel | es |
dc.creator | Gálvez, José A. | es |
dc.creator | Mira, Pablo | es |
dc.date.accessioned | 2021-07-07T09:03:41Z | |
dc.date.available | 2021-07-07T09:03:41Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Fernández Delgado, I., Gálvez, J.A. y Mira, P. (2020). Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs. ArXiv.org, arXiv:2004.08275, 1-29. | |
dc.identifier.uri | https://hdl.handle.net/11441/115303 | |
dc.description.abstract | We prove that any complete, uniformly ellipticWeingarten surface in Euclidean
3-space whose Gauss map image omits an open hemisphere is a cylinder or a plane. This
generalizes a classical theorem by Hoffman, Osserman and Schoen for constant mean
curvature surfaces. In particular, this proves that planes are the only complete, uniformly
elliptic Weingarten multigraphs. We also show that this result holds for a large class of
non-uniformly elliptic Weingarten equations. In particular, this solves in the affirmative
the Bernstein problem for entire graphs for that class of elliptic equations. To obtain
these results, we prove that planes are the only complete multigraphs with quasiconformal
Gauss map and bounded second fundamental form. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2016-80313-P | es |
dc.format | application/pdf | es |
dc.format.extent | 29 | es |
dc.language.iso | eng | es |
dc.publisher | Cornell University | es |
dc.relation.ispartof | ArXiv.org, arXiv:2004.08275, 1-29. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Weingarten surfaces | es |
dc.subject | Fully nonlinear elliptic equations | es |
dc.subject | Bernstein problem | es |
dc.subject | Multigraphs | es |
dc.subject | Curvature estimates | es |
dc.subject | Quasiconformal Gauss map | es |
dc.title | Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2016-80313-P | es |
dc.relation.publisherversion | https://arxiv.org/abs/2004.08275 | es |
dc.journaltitle | ArXiv.org | es |
dc.publication.issue | arXiv:2004.08275 | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 29 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |