Stable closed equilibria for anisotropic surface energies: Surfaces with edges

Details Stable closed equilibria for anisotropic surface energies: Surfaces with edges Stable closed equilibria for anisotropic surface energies: Surfaces with edges

2011-10-19

arxiv.org/abs/1110.4342v1

Mathematics

Differential Geometry

Scientific paper

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.

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