Stability for hypersurfaces of constant mean curvature with free boundary
- Cite this article as:
- Ros, A. & Vergasta, E. Geom Dedicata (1995) 56: 19. doi:10.1007/BF01263611
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The partitioning problem for a smooth convex bodyB ⊂ ℝ3 consists in to study, among surfaces which divideB in two pieces of prescribed volume, those which are critical points of the area functional.
We study stable solutions of the above problem: we obtain several topological and geometrical restrictions for this kind of surfaces. In the case thatB is a Euclidean ball we obtain stronger results.