A Note on Doubly Connected Surfaces of Constant Mean Curvature with Prescribed Boundary
被引:0
作者:
Ari J. Aiolfi
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机构:Universidade Federal de Santa Maria,Departamento de Matemática
Ari J. Aiolfi
Pedro Fusieger
论文数: 0引用数: 0
h-index: 0
机构:Universidade Federal de Santa Maria,Departamento de Matemática
Pedro Fusieger
Jaime B. Ripoll
论文数: 0引用数: 0
h-index: 0
机构:Universidade Federal de Santa Maria,Departamento de Matemática
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:
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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.