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Translating solutions for Gauß curvature flows with Neumann boundary condition
Oliver Schnürer and Hartmut SchwetlickAbstract
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.
- Received:
- 19.02.02
- Published:
- 19.02.02
- MSC Codes:
- 53C44, 35K20, 53C42
- Keywords:
- fully nonlinear, curvature flows