The Dirichlet problem for the degenerate elliptic Monge-Ampère equation (Q1307261)
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scientific article; zbMATH DE number 1354756
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Dirichlet problem for the degenerate elliptic Monge-Ampère equation |
scientific article; zbMATH DE number 1354756 |
Statements
The Dirichlet problem for the degenerate elliptic Monge-Ampère equation (English)
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1 December 1999
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The author proves, under mild conditions, the existence and uniqueness of the global \(C^{1,1/3}\) solution to the Dirichlet problem for the degenerate elliptic Monge-Ampère equation. The application to the equation of the prescribed nonnegative Gauss curvature is also given.
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global solutions
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nonnegative Gauss curvature equations
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existence
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uniqueness
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