# American Institute of Mathematical Sciences

March  2012, 4(1): 89-97. doi: 10.3934/jgm.2012.4.89

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

 1 Department of Mathematics, Idaho State University, Pocatello , Idaho, 83209, United States

Received  November 2011 Revised  April 2012 Published  April 2012

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.
Citation: Bennett Palmer. Stable closed equilibria for anisotropic surface energies: Surfaces with edges. Journal of Geometric Mechanics, 2012, 4 (1) : 89-97. doi: 10.3934/jgm.2012.4.89
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