Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume (Q379200)
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scientific article; zbMATH DE number 6224339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume |
scientific article; zbMATH DE number 6224339 |
Statements
Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume (English)
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11 November 2013
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The present paper is devoted to hypersurfaces which are critical points for the variational problem of minimizing a certain functional area preserving a linear combination of some area and the volume enclosed. On this way, generalizations and unifications are obtained for several important results regarding compact hypersurfaces of \(\mathbb{R}^{n+1}\) in the Euclidean and the anisotropic settings. For example, a new variational characterization of the Wulff shape is derived.
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hypersurfaces
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constant anisotropic mean curvature
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variational problem
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stability
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Wulff shape
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0.9193273
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0.9164676
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0.9144607
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0.90805495
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0.9079825
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0.9067836
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0.9064733
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0.90615666
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