### 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 |
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Pages (from-to) | 3817-3823 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 141 |

Issue number | 11 |

DOIs | |

Publication status | Published - Aug 27 2013 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*141*(11), 3817-3823. https://doi.org/10.1090/S0002-9939-2013-11892-7

**Stable surfaces with constant anisotropic mean curvature and circular boundary.** / Koiso, Miyuki; Palmer, Bennett.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 141, no. 11, pp. 3817-3823. https://doi.org/10.1090/S0002-9939-2013-11892-7

}

TY - JOUR

T1 - Stable surfaces with constant anisotropic mean curvature and circular boundary

AU - Koiso, Miyuki

AU - Palmer, Bennett

PY - 2013/8/27

Y1 - 2013/8/27

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84882675376&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84882675376&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-2013-11892-7

DO - 10.1090/S0002-9939-2013-11892-7

M3 - Article

AN - SCOPUS:84882675376

VL - 141

SP - 3817

EP - 3823

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 11

ER -