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dc.contributor.authorLópez Camino, Rafael 
dc.date.accessioned2014-09-22T08:48:38Z
dc.date.available2014-09-22T08:48:38Z
dc.date.issued2009
dc.identifier.citationLópez Camino, R. Stationary bands in three-dimensional Minkowski space. Osaka Journal of Mathematics, 46(1): 1-20 (2009). [http://hdl.handle.net/10481/33114]es_ES
dc.identifier.issn0030-6126
dc.identifier.urihttp://hdl.handle.net/10481/33114
dc.description.abstractIn this paper we consider a free boundary problem for spacelike surfaces in the 3-dimensional Lorentz-Minkowski space L3 whose energy functional involves the area of a surface and a timelike potential. The critical points of this energy for any volume-preserving admissible variation are spacelike surfaces supported in a plane and whose mean curvature is a linear function of the time coordinate. In this paper, we consider those surfaces that are invariant in a parallel coordinate to the support plane. We call these surfaces stationary bands. We establish existence of such surfaces and we investigate their qualitative properties. Finally, we give estimates of its size in terms of the initial data.es_ES
dc.description.sponsorshipPartially supported by MEC-FEDER grant no. MTM2007-61775 and Junta de Andalucia grant no. P06-FQM-01642.es_ES
dc.language.isoenges_ES
dc.publisherOsaka/Osaka-City Universities. Departments of Mathematicses_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es_ES
dc.subjectLorentz manifoldses_ES
dc.subjectManifolds with indefinite metricses_ES
dc.subjectImmersionses_ES
dc.subjectMinimal surfaceses_ES
dc.subjectSurfaces with prescribed mean curvaturees_ES
dc.titleStationary bands in three-dimensional Minkowski spacees_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.relation.publisherversionhttp://projecteuclid.org/euclid.ojm/1235574037es_ES


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