Hypersurfaces of prescribed mean curvature in central projection. I (Q1888691)
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scientific article; zbMATH DE number 2119262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypersurfaces of prescribed mean curvature in central projection. I |
scientific article; zbMATH DE number 2119262 |
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Hypersurfaces of prescribed mean curvature in central projection. I (English)
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26 November 2004
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The author considers a variational problem modelling surfaces of prescribed mean curvature in central projection which means that the author investigates the Dirichlet-problem for surfaces of prescribed mean curvature admitting a central projection onto an open domain of the unit sphere \(S^n\). Under reasonable geometrie assumptions on the mean curvature the existence of solutions is established in classes of functions of bounded variation. Further, results touch the regularity of solutions and their uniqueness.
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\(H\)-surfaces in central projection
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functions of bounded variation
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existence
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regularity
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0.98175496
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0.9138658
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0.8966484
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0.8898422
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0.88941413
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