Radial Graphs of Constant Mean Curvature and Doubly Connected Minimal Surfaces with Prescribed Boundary

被引：0
|
作者：
Pedro Fusieger
Jaime Ripoll
机构：
[1] Universidade Federal de Santa Maria,Departamento de Matemática
[2] Universidade Federal do Rio Grande do Sul,Instituto de Matemática
来源：
Annals of Global Analysis and Geometry | 2003年 / 23卷
关键词：
radial graphs; constant mean curvature; Dirichlet Problem;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：373 / 400
页数：27
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