Solvability and uniqueness results (Q2767709)
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scientific article; zbMATH DE number 1698450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability and uniqueness results |
scientific article; zbMATH DE number 1698450 |
Statements
23 July 2002
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solvability
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equation of mean curvature type
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0.9037752
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0.9015577
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0.89953077
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0.89918125
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Solvability and uniqueness results (English)
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The authors study the mean curvature equation \(\Delta X=2HX_u \wedge X_v\). For any fixed \(H=H(u,v,X,X_u,X_v)\) they give a family of boundary data \(g\) such that the Dirichlet problem is solvable. They also prove under some conditions local and global uniqueness of the solutions in the Banach space \(C ({\overline \Omega},R^3)\).
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