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Deforming convex hypersurfaces to a hypersurface with prescribed harmonic mean curvature

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Abstract

A heat flow method is used to deform convex hypersulfaces in a ring domain to a hypersurface whose harmonic mean curvature is a prescribed function.

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Authors and Affiliations

  1. Department of Applied Mathematics, Tsinghua University, 100084, Beijing, China

    Huaiyu Jian

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  1. Huaiyu Jian
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Jian, H. Deforming convex hypersurfaces to a hypersurface with prescribed harmonic mean curvature. Sci. China Ser. A-Math. 42, 1059–1065 (1999). https://doi.org/10.1007/BF02889507

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  • DOI: https://doi.org/10.1007/BF02889507

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