Geometriae Dedicata

, Volume 56, Issue 1, pp 19–33

Stability for hypersurfaces of constant mean curvature with free boundary

  • Antonio Ros
  • Enaldo Vergasta

DOI: 10.1007/BF01263611

Cite this article as:
Ros, A. & Vergasta, E. Geom Dedicata (1995) 56: 19. doi:10.1007/BF01263611


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.

Mathematics Subject Classifications (1991)

53A10 49Q05 49Q10 

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Antonio Ros
    • 1
  • Enaldo Vergasta
    • 2
  1. 1.Departamento de Geometría y TopologíaUniversidad de GranadaGranadaSpain
  2. 2.Departmento de MatemáticaUniversidade Federal da BahiaSalvador-BABrazil

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