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Alexandrov's theorem revisited

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arxiv 1711.07690 v2 pith:F2BSO4MS submitted 2017-11-21 math.AP math.DG

M. G. Delgadino , F. Maggi This is my paper · ORCID
classification math.APmath.DG
keywords perimeteralexandrovballscriticalfinitefunctionalonlypoints
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We show that among sets of finite perimeter balls are the only volume-constrained critical points of the perimeter functional.

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Cited by 1 Pith paper

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  1. Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets

    math.AP 2019-08 accept novelty 7.0 of 10

    Finite perimeter sets with reduced boundary almost equal to their closure that are volume-constrained critical points of a C^3 elliptic anisotropic perimeter must be finite unions of disjoint equal-radius Wulff shapes.

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