Radial graphs of constant mean curvature and doubly connected minimal surfaces with prescribed boundary (Q1811013)
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scientific article; zbMATH DE number 1925042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Radial graphs of constant mean curvature and doubly connected minimal surfaces with prescribed boundary |
scientific article; zbMATH DE number 1925042 |
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Radial graphs of constant mean curvature and doubly connected minimal surfaces with prescribed boundary (English)
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9 June 2003
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The authors investigate the existence and uniqueness of compact surfaces of constant mean curvature in \(\mathbb{R}^3\), with prescribed boundary, which are given as radial graphs over some domain in the sphere. The principal result establishes the existence of a minimal radial anullus spanning to convex given curves in parallel planes of \(\mathbb{R}^3\).
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radial graphs
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constant mean curvature
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Dirichlet problem
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