Stable surfaces with constant anisotropic mean curvature and circular boundary

Koiso, Miyuki; Palmer, Bennett

doi:10.1090/S0002-9939-2013-11892-7

Stable surfaces with constant anisotropic mean curvature and circular boundary
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by Miyuki Koiso and Bennett Palmer PDF

Proc. Amer. Math. Soc. 141 (2013), 3817-3823 Request permission

Abstract:

We show that for an axially symmetric anisotropic surface energy, only stable disc-type surfaces with constant anisotropic mean curvature bounded by a circle which lies in a plane orthogonal to the rotation axis of the Wulff shape are rescalings of parts of the Wulff shape and the flat disc.

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