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dc.contributor.authorAlbujer, Alma L.
dc.contributor.authorCaballero, Magdalena
dc.date.accessioned2023-12-21T12:29:36Z
dc.date.available2023-12-21T12:29:36Z
dc.date.issued2023
dc.identifier.urihttp://hdl.handle.net/10396/26419
dc.description.abstractSpacelike surfaces with the same mean curvature in R^3 and L^3 are locally described as the graph of the solutions to the H_R = H_L surface equation, which is an elliptic partial differential equation except at the points at which the gradient vanishes, because the equation degenerates. In this paper we study precisely the critical points of the solutions to such equation. Specifically, we give a necessary geometrical condition for a point to be critical, we obtain a new uniqueness result for the Dirichlet problem related to the H_R = H_L surface equation and we get a Heinz-type bound for the inradius of the domain of any solution to such equation, improving a previous result by the authors. Finally, we also get a bound for the inradius of the domain of any function of class C^2 in terms of the curvature of its level curves.es_ES
dc.format.mimetypeapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rightshttps://creativecommons.org/licenses/by/4.0/es_ES
dc.sourceAlbujer, A.L.; Caballero, M. Critical points of the solutions to the H_R=H_L surface equation. Results Math 78, 75 (2023). https://doi.org/10.1007/s00025-023-01847-0es_ES
dc.subjectSpacelike surfacees_ES
dc.subjectMean curvaturees_ES
dc.subjectCritical pointes_ES
dc.subjectLevel curvees_ES
dc.titleCritical points of the solutions to the H_R=H_L surface equationes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s00025-023-01847-0es_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES


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