Stable surfaces with constant anisotropic mean curvature and circular boundary

Miyuki Koiso, Bennett Palmer

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)3817-3823
Number of pages7
JournalProceedings of the American Mathematical Society
Volume141
Issue number11
DOIs
Publication statusPublished - Aug 27 2013

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Wulff Shape
Mean Curvature
Interfacial energy
Surface Energy
Rescaling
Circle

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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

In: Proceedings of the American Mathematical Society, Vol. 141, No. 11, 27.08.2013, p. 3817-3823.

Research output: Contribution to journalArticle

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