Geometry and stability of surfaces with constant anisotropic mean curvature

Miyuki Koiso, Bennett Palmer

Research output: Contribution to journalReview articlepeer-review

49 Citations (Scopus)


We study the geometry of surfaces which are in equilibrium for a (constant coefficient) parametric elliptic functional with a volume constraint. We consider the first and second variations and the exceptional set of the Gauss map for such surfaces. The equilibrium surfaces of revolution (anisotropic Delaunay surfaces) are also discussed as is an anisotropic version of the Willmore functional.

Original languageEnglish
Pages (from-to)1817-1852
Number of pages36
JournalIndiana University Mathematics Journal
Issue number6
Publication statusPublished - 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


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