A variational approach to the regularity of minimal surfaces of annulus type in Riemannian manifolds

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dc.creatorKim, Hwajeong
dc.date2006-03-27
dc.date.accessioned2026-07-07T07:07:14Z
dc.date.available2026-07-07T07:07:14Z
dc.descriptionGiven two Jordan curves in a Riemannian manifold, a minimal surface of annulus type bounded by these curves is described as the harmonic extension of a critical point of some functional (the Dirichlet integral) in a certain space of boundary parametrizations. The $H^{2,2}$-regularity of the minimal surface of annulus type will be proved by applying the critical points theory and Morrey's growth condition.
dc.description22 pages. to appear in Differ. Geom. Appl
dc.identifierhttps://arxiv.org/abs/math/0603610
dc.identifierhttp://arxiv.org/abs/math/0603610
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110319
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject49Q05; 58E05
dc.titleA variational approach to the regularity of minimal surfaces of annulus type in Riemannian manifolds
dc.typetext

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