Higher order variations of constant mean curvature surfaces

被引：4

作者：

Koiso, Miyuki ^{[1
]}

Palmer, Bennett ^{[2
]}

机构：

[1] Kyushu Univ, Inst Math Ind, Nishi Ku, Fukuoka 8190395, Japan

[2] Idaho State Univ, Dept Math, Pocatello, ID 83209 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 56卷 / 06期

关键词：

STABILITY;

D O I：

10.1007/s00526-017-1246-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：28

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