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：

暂无

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.

引用

页码：373 / 400

页数：27

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