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.
|ジャーナル||Calculus of Variations and Partial Differential Equations|
|出版ステータス||出版済み - 12 1 2017|
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