Stability for hypersurfaces of constant mean curvature with free boundary |
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Authors: | Antonio Ros Enaldo Vergasta |
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Institution: | (1) Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain;(2) Departmento de Matemática, Universidade Federal da Bahia, 40170-110 Salvador-BA, Brazil |
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Abstract: | The partitioning problem for a smooth convex bodyB 3 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.Antonio Ros is partially supported by DGICYT grant PB91-0731 and Enaldo Vergasta is partially supported by CNPq grant 202326/91-8. |
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Keywords: | 53A10 49Q05 49Q10 |
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