A uniqueness theorem for the minimal surface equation (Q1358957)
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scientific article; zbMATH DE number 1025791
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniqueness theorem for the minimal surface equation |
scientific article; zbMATH DE number 1025791 |
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A uniqueness theorem for the minimal surface equation (English)
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23 June 1997
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In 1991, \textit{P. Collin} and \textit{R. Krust} [Bull. Soc. Math. Fr. 119, 443-462 (1991; Zbl 0754.53013)] proved that if \(u\) satisfies the minimal surface equation in a strip with linear Dirichlet data on two sides, then \(u\) must be a helicoid. In this paper, we give a simpler proof of this result and generalize it.
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characterization of the helicoid
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minimal surface equation
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