A New Proof of a Characterization of Small Spherical Caps

被引：0
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作者：
Rafael López
机构：
[1] Universidad de Granada,Departamento de Geometría y Topología
来源：
Results in Mathematics | 2009年 / 55卷
关键词：
53A10; Mean curvature; maximum principle; spherical cap;
D O I：
暂无
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学科分类号：
摘要：
It is known that planar disks and small spherical caps are the only constant mean curvature graphs whose boundary is a round circle. Usually, the proof invokes the Maximum Principle for elliptic equations. This paper presents a new proof of this result motivated by an article due to Reilly. Our proof utilizes a flux formula for surfaces with constant mean curvature together with integral equalities on the surface.
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