Stable surfaces with constant anisotropic mean curvature and circular boundary

Miyuki Koiso; Bennett Palmer

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

Stable surfaces with constant anisotropic mean curvature and circular boundary

Miyuki Koiso, Bennett Palmer

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	3817-3823
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-2013-11892-7
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-2013-11892-7

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title = "Stable surfaces with constant anisotropic mean curvature and circular boundary",

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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Stable surfaces with constant anisotropic mean curvature and circular boundary

Abstract

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