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Stable closed equilibria for anisotropic surface energies: Surfaces with edges

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  • We study the stability of closed, not necessarily smooth, equilibrium surfaces of an anisotropic surface energy for which the Wulff shape is not necessarily smooth. We show that if the Cahn-Hoffman field can be extended continuously to the whole surface and if the surface is stable, then the surface is, up to rescaling, the Wulff shape.
    Mathematics Subject Classification: Primary: 49Q10; Secondary: 53A015.

    Citation:

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