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dc.contributor.authorMartínez López, Antonio 
dc.contributor.authorMartínez Triviño, Antonio Luis 
dc.date.accessioned2022-07-11T07:27:45Z
dc.date.available2022-07-11T07:27:45Z
dc.date.issued2022-05-18
dc.identifier.citationAntonio Martínez, Antonio Luis Martínez-Triviño, João Paulo dos Santos, Mean convex properly embedded [\varphi,\vec{e}_{3}][φ, e 3 ​ ]-minimal surfaces in \mathbb{R}^3R 3 . Rev. Mat. Iberoam. 38 (2022), no. 4, pp. 1349–1370 DOI [10.4171/RMI/1352]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/75919
dc.description.abstractWe establish curvature estimates and a convexity result for mean convex properly embedded [phi, (e) over right arrow (3)]-minimal surfaces in R-3, i.e., phi-minimal surfaces when phi depends only on the third coordinate of R3. Led by the works on curvature estimates for surfaces in 3-manifolds, due to White for minimal surfaces, to Rosenberg, Souam and Toubiana for stable CMC surfaces, and to Spruck and Xiao for stable translating solitons in R-3, we use a compactness argument to provide curvature estimates for a family of mean convex [phi, (e) over right arrow (3)]-minimal surfaces in R-3. We apply this result to generalize the convexity property of Spruck and Xiao for translating solitons. More precisely, we characterize the convexity of a properly embedded [phi, (e) over right arrow (3)]-minimal surface in R-3 with non-positive mean curvature when the growth at infinity of phi is at most quadratic.es_ES
dc.description.sponsorshipSpanish Government MTM2016-80313-Pes_ES
dc.description.sponsorshipJunta de Andalucia A-FQM-139-UGR18es_ES
dc.description.sponsorship"Maria de Maeztu" Excellence Unit IMAG - MCIN/AEI CEX2020-001105-Mes_ES
dc.description.sponsorshipCoordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES) 001es_ES
dc.language.isoenges_ES
dc.publisherEuropean Mathematical Societyes_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectphi-minimal surfacees_ES
dc.subjectMean convexes_ES
dc.subjectArea estimateses_ES
dc.subjectCurvature estimateses_ES
dc.subjectConvexityes_ES
dc.titleMean convex properly embedded [phi, (e)over-right-arrow(3)]-minimal surfaces in R-3es_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.4171/RMI/1352
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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