Anisotropic Gauss curvature flow of complete non-compact graphs
Abstract
In this paper, we consider the anisotropic α-Gauss curvature flow for complete noncompact convex hypersurfaces in the Euclidean space with the anisotropy determined by a smooth closed uniformly convex Wulff shape. We show that for all positive power α>0, if the initial hypersurface is complete noncompact and locally uniformly convex, then the solution of the flow exists for all positive time.
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