Translating solutions for Gauss curvature flows with Neumann boundary conditions

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We consider strictly convex hypersurfaces which are evolving by the non-parametric logarithmic Gauss curvature flow subject to a Neumann boundary condition. Solutions are shown to converge smoothly to hypersurfaces moving by translation. In particular, for bounded domains we prove that convex functions with prescribed normal derivative satisfy a uniform oscillation estimate.
22 pages, 6 figures; submitted to Pacific J. Math

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Analysis of PDEs, Differential Geometry, 53C44 (Primary) 35K20, 53C42 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/66649

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302345
 http://arxiv.org/abs/math/0302345

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arXiv