Boundary regularity for the Monge-Ampere and affine maximal surface equations

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dc.creatorTrudinger, Neil S.
dc.creatorWang, Xu-Jia
dc.date2005-09-15
dc.date.accessioned2026-07-07T05:23:14Z
dc.date.available2026-07-07T05:23:14Z
dc.descriptionIn this paper, we prove global second derivative estimates for solutions of the Dirichlet problem for the Monge-Ampere equation when the inhomogeneous term is only assumed to be Holder continuous. As a consequence of our approach, we also establish the existence and uniqueness of globally smooth solutions to the second boundary value problem for the affine maximal surface equation and affine mean curvature equation.
dc.description38
dc.identifierhttps://arxiv.org/abs/math/0509342
dc.identifierhttp://arxiv.org/abs/math/0509342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76353
dc.subjectDifferential Geometry
dc.titleBoundary regularity for the Monge-Ampere and affine maximal surface equations
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