The affine Plateau problem

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In this paper, we study a second order variational problem for locally convex hypersurfaces, which is the affine invariant analogue of the classical Plateau problem for minimal surfaces. We prove existence, regularity and uniqueness results for hypersurfaces maximizing affine area under appropriate boundary conditions.
48 pages

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Differential Geometry, Analysis of PDEs, 53A15;35J60

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http://salesiana.dossiersoluciones.com/handle/123456789/71358

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405541
 http://arxiv.org/abs/math/0405541

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arXiv