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Stationary soap films with vertical potentials
dc.contributor.author | López Camino, Rafael | |
dc.contributor.author | Pámpano, Álvaro | |
dc.date.accessioned | 2021-12-10T11:07:51Z | |
dc.date.available | 2021-12-10T11:07:51Z | |
dc.date.issued | 2021-11-05 | |
dc.identifier.citation | Published version: Rafael López, Álvaro Pámpano, Stationary soap films with vertical potentials, Nonlinear Analysis, Volume 215, 2022, 112661, ISSN 0362-546X, [https://doi.org/10.1016/j.na.2021.112661] | es_ES |
dc.identifier.uri | http://hdl.handle.net/10481/71987 | |
dc.description | Rafael López has been partially supported by the grant no. MTM2017-89677-P, MINECO/ AEI/FEDER, UE. The authors would like to thank the referee for carefully reviewing the paper. | es_ES |
dc.description.abstract | We classify cylindrical surfaces in the Euclidean space whose mean curvature is a nth-power of the distance to a reference plane. The generating curves of these surfaces, called n-elastic curves, have a variational characterization as critical points of a curvature energy generalizing the classical elastic energy. We give a full description of such curves obtaining, in some particular cases, closed curves including simple ones. | es_ES |
dc.description.sponsorship | MTM2017-89677-P, MINECO/ AEI/FEDER, UE | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.subject | Mean curvature | es_ES |
dc.subject | Elastic curve | es_ES |
dc.subject | Curvature energy | es_ES |
dc.subject | Phase space | es_ES |
dc.title | Stationary soap films with vertical potentials | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.type.hasVersion | info:eu-repo/semantics/submittedVersion | es_ES |