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arXiv · 2404.10298

Anisotropic Gauss curvature flow of complete non-compact graphs

Shujing Pan·Yong Wei
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Abstract

In this paper, we consider the anisotropic $\alpha$-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 $\alpha>0$, 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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Shujing Pan, Yong Wei. 2024-04-16. Anisotropic Gauss curvature flow of complete non-compact graphs. https://arxiv.org/abs/2404.10298

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