A Note on Doubly Connected Surfaces of Constant Mean Curvature with Prescribed Boundary

被引：0
|
作者：
Ari J. Aiolfi
Pedro Fusieger
Jaime B. 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 | 2006年 / 29卷
关键词：
constant mean curvature; radial graphs; doubly connected surfaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：145 / 156
页数：11
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