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Radial Graphs of Constant Mean Curvature and Doubly Connected Minimal Surfaces with Prescribed Boundary |
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| Authors: | Fusieger Pedro Ripoll Jaime |
| 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, 9150-970 Porto Alegre RS, Brazil |
| Abstract: | In this paper we investigate existence and uniqueness of radial graphs ofconstant mean curvature (cmc) with prescribed boundary. Our main resultestablishes the existence of a minimal radial anullus spanning two givenconvex curves in parallel planes of R3; we also obtain a variant ofa well-known result of James Serrin about the existence of radial cmc graphsover convex domains in the sphere. |
| Keywords: | radial graphs constant mean curvature Dirichlet Problem |
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