The best modulus of continuity for solutions of the minimal surface equation (Q1074019)
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scientific article; zbMATH DE number 3946746
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The best modulus of continuity for solutions of the minimal surface equation |
scientific article; zbMATH DE number 3946746 |
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The best modulus of continuity for solutions of the minimal surface equation (English)
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1987
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The Dirichlet problem for the minimal surface equation on a bounded domain in \({\mathbb{R}}^ n\) with non-negative mean curvature is considered. A modulus of continuity for the solution is given in terms of the modulus of continuity of the boundary values. The modulus obtained is shown to be best possible.
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Dirichlet problem
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minimal surface equation
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modulus of continuity.
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