Higher order variations of constant mean curvature surfaces

Miyuki Koiso, Bennett Palmer

研究成果: Contribution to journalArticle査読

抄録

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.

本文言語英語
論文番号159
ジャーナルCalculus of Variations and Partial Differential Equations
56
6
DOI
出版ステータス出版済み - 12 1 2017

All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

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