The Plateau problem for convex curvature functions (Q2184849)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Plateau problem for convex curvature functions |
scientific article |
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The Plateau problem for convex curvature functions (English)
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2 June 2020
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This paper is concerned with the study of the parametric Plateau problem in general Riemannian manifolds for locally strictly convex hypersurfaces of prescribed curvature for general convex curvature functions. The author proves the existence of solutions in the case that there is an outer barrier for general convex curvature functions inside general Hadamard manifolds.
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Plateau problem
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nonlinear elliptic PDEs
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