Principal curvature estimates for the level sets of harmonic functions and minimal graphs in \(\mathbb R^3\) (Q651962)
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scientific article; zbMATH DE number 5989601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Principal curvature estimates for the level sets of harmonic functions and minimal graphs in \(\mathbb R^3\) |
scientific article; zbMATH DE number 5989601 |
Statements
Principal curvature estimates for the level sets of harmonic functions and minimal graphs in \(\mathbb R^3\) (English)
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19 December 2011
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The main purpose of the paper under review is to obtain sharp principal curvature estimates for the level set of lower-dimensional \(p\)-harmonic functions and minimal graphs defined on convex rings. The main technique in the proof of the main result consists in rearranging the second- and third-derivative terms using the equation and the first derivative conditions for \(\varphi\). A major argument is also the strong maximum principle.
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curvature estimate
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level sets
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harmonic function
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minimal graph
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