A Note on Doubly Connected Surfaces of Constant Mean Curvature with Prescribed Boundary |
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| Authors: | Ari J Aiolfi Pedro Fusieger Jaime B Ripoll |
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| Institution: | (1) Departamento de Matemática, Universidade Federal de Santa Maria, Faixa do Camobi, Km 9, 97105-900 Santa Maria RS, Brazil;(2) Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves 9500, 91501-970 Porto Alegre RS, Brazil |
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| Abstract: | In this paper we prove the existence of a constant mean curvature surface spanning two given convex curves in parallel planes of ℝ3 under hypotheses relating the distance between the planes, the curvature of the curves and the mean curvature. It is also proved that the surface is a radial graph over a unit sphere.This author was partially Supported by Fapergs.
Mathematics Subject Classifications (2000): 53A10, 53C42, 35J60 |
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| Keywords: | constant mean curvature radial graphs doubly connected surfaces |
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