Stable closed equilibria for anisotropic surface energies: Surfaces with edges
classification
🧮 math.DG
keywords
surfaceanisotropicclosednecessarilyshapesmoothstablesurfaces
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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.
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