Higher order variations of constant mean curvature surfaces

Miyuki Koiso, Bennett Palmer

Research output: Contribution to journalArticle

Abstract

We study the third and fourth variation of area for a compact domain in a constant mean curvature surface when there is a Killing field on R3 whose normal component vanishes on the boundary. Examples are given to show that, in the presence of a zero eigenvalue, the non negativity of the second variation has no implications for the local area minimization of the surface.

Original languageEnglish
Article number159
JournalCalculus of Variations and Partial Differential Equations
Volume56
Issue number6
DOIs
Publication statusPublished - Dec 1 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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