dc.creator | Fernández Delgado, Isabel | es |
dc.creator | Gálvez, José A. | es |
dc.creator | Mira, Pablo | es |
dc.date.accessioned | 2021-07-07T09:42:09Z | |
dc.date.available | 2021-07-07T09:42:09Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Fernández Delgado, I., Gálvez, J.A. y Mira, P. (2020). The Bernstein problem for elliptic Weingarten multigraphs. ArXiv.org, arXiv:2004.08275v1, 1-24. | |
dc.identifier.uri | https://hdl.handle.net/11441/115305 | |
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. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2016-80313-P | es |
dc.format | application/pdf | es |
dc.format.extent | 24 | es |
dc.language.iso | eng | es |
dc.publisher | Cornell University | es |
dc.relation.ispartof | ArXiv.org, arXiv:2004.08275v1, 1-24. | |
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 | The Bernstein problem for elliptic Weingarten multigraphs | es |
dc.type | info:eu-repo/semantics/article | es |
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/2004.08275v1 | es |
dc.journaltitle | ArXiv.org | es |
dc.publication.issue | arXiv:2004.08275v1 | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 24 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |