The Dirichlet problem for constant mean curvature graphs in \(\mathbb M\times\mathbb R\) (Q441112)
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scientific article; zbMATH DE number 6068623
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Dirichlet problem for constant mean curvature graphs in \(\mathbb M\times\mathbb R\) |
scientific article; zbMATH DE number 6068623 |
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The Dirichlet problem for constant mean curvature graphs in \(\mathbb M\times\mathbb R\) (English)
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20 August 2012
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The authors extend earlier results of \textit{J. Spruck} [Arch. Ration. Mech. Anal. 49, 1--31 (1972; Zbl 0263.53008)] on existence of graphs of constant mean curvature \(H>0\) over planar domains and achieving Dirichlet data that can be infinite on some boundary arcs, to graphs over domains on a Hadamard surface of Gaussian curvature \(\leq -a<0\). They succeed in showing that similar underlying ideas prevail for the result; however there are technically difficult points and a considerable effort is needed to establish the needed details.
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Hadamard surface
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constant mean curvature
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Dirichlet problem
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