Curvature estimates for \(p\)-convex hypersurfaces of prescribed curvature (Q6172749)
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scientific article; zbMATH DE number 7714680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Curvature estimates for \(p\)-convex hypersurfaces of prescribed curvature |
scientific article; zbMATH DE number 7714680 |
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Curvature estimates for \(p\)-convex hypersurfaces of prescribed curvature (English)
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20 July 2023
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Summary: In this paper, we establish curvature estimates for \(p\)-convex hypersurfaces in \(\mathbb{R}^{n + 1}\) of prescribed curvature with \(p \geq n /2\). The existence of a star-shaped hypersurface of prescribed curvature is obtained. We also prove a type of interior \(C^2\) estimates for solutions to the Dirichlet problem of the corresponding equation.
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curvature estimates
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convex hypersurfaces
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interior estimates
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Dirichlet problem
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