April 16, 2024Open Access

Anisotropic Gauss curvature flow of complete non-compact graphs

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Abstract

In this paper, we consider the anisotropic -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 >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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Pan et al. (Tue,) studied this question.

synapsesocial.com/papers/68e6ef30b6db64358766a6cc https://doi.org/https://doi.org/10.48550/arxiv.2404.10298

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