1. Stability for hypersurfaces of constant mean curvature with free boundary
- Author
-
Antonio Ros and Enaldo Vergasta
- Subjects
Mean curvature ,Differential geometry ,Hyperbolic geometry ,Mathematical analysis ,Regular polygon ,Boundary (topology) ,Geometry and Topology ,Algebraic geometry ,Constant (mathematics) ,Mathematics ,Projective geometry - Abstract
Texto completo: acesso restrito. p.19-33 Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2013-02-18T16:31:19Z No. of bitstreams: 1 ROS.pdf: 704698 bytes, checksum: fa570e44644b385adcc98b900274fad7 (MD5) Made available in DSpace on 2013-02-18T16:31:19Z (GMT). No. of bitstreams: 1 ROS.pdf: 704698 bytes, checksum: fa570e44644b385adcc98b900274fad7 (MD5) Previous issue date: 1995 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.
- Published
- 1995
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