2017年12月
Higher order variations of constant mean curvature surfaces
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
- ,
- 巻
- 56
- 号
- 6
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s00526-017-1246-1
- 出版者・発行元
- SPRINGER HEIDELBERG
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 R-3 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.
- リンク情報
- ID情報
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- DOI : 10.1007/s00526-017-1246-1
- ISSN : 0944-2669
- eISSN : 1432-0835
- Web of Science ID : WOS:000413746600007