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.
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - Dec 1 2017|
All Science Journal Classification (ASJC) codes
- Applied Mathematics