An elementary regularity theory of minimal surfaces (Q1802857)
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scientific article; zbMATH DE number 219690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary regularity theory of minimal surfaces |
scientific article; zbMATH DE number 219690 |
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An elementary regularity theory of minimal surfaces (English)
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29 June 1993
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The authors provide an alternative approach to the regularity of minimal surfaces, showing that minimal surfaces in \(n\)-dimensions are smooth except on a set of Hausdorff dimension \(n-2\). Techniques from the theory of viscosity solutions (as developed by the first author) are used, rather than the usual geometric measure theory arguments.
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regularity of minimal surfaces
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viscosity solutions
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