On two-dimensional immersions of prescribed mean curvature in \(\mathbb R^{n}\) (Q2427608)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two-dimensional immersions of prescribed mean curvature in \(\mathbb R^{n}\) |
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On two-dimensional immersions of prescribed mean curvature in \(\mathbb R^{n}\) (English)
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13 May 2008
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Summary: We consider two-dimensional immersions of disc-type in \(\mathbb R^{n}\). We focus on well known classical concepts and study the nonlinear elliptic systems of such mappings. Using an Osserman-type condition we give a-priori estimates of the principal curvatures for graphs with prescribed mean curvature fields and derive a theorem of Bernstein type for minimal graphs.
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two-dimensional immersions
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prescribed mean curvature
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higher codimension
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curvature estimates
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