Regularity of non-characteristic minimal graphs in the Heisenberg group $H^1$

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dc.creatorCapogna, Luca
dc.creatorCitti, Giovanna
dc.creatorManfredini, Maria
dc.date2008-04-21
dc.date.accessioned2026-07-07T09:33:57Z
dc.date.available2026-07-07T09:33:57Z
dc.descriptionMinimal surfaces in the sub-Riemannian Heisenberg group can be constructed by means of a Riemannian approximation scheme, as limit of Riemannian minimal surfaces. We study the regularity of Lipschitz, non-characteristic minimal surfaces which arise as such limits. Our main results are a-priori estimates on the solutions of the approximating Riemannian PDE and the ensuing $C^{\infty}$ regularity of the sub-Riemannian minimal surface along its Legendrian foliation.
dc.identifierhttps://arxiv.org/abs/0804.3406
dc.identifierhttp://arxiv.org/abs/0804.3406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159314
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35H20; 53C17
dc.titleRegularity of non-characteristic minimal graphs in the Heisenberg group $H^1$
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