The generalized Dirichlet problem for equations of Monge-Ampère type (Q1081747)
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scientific article; zbMATH DE number 3971276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generalized Dirichlet problem for equations of Monge-Ampère type |
scientific article; zbMATH DE number 3971276 |
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The generalized Dirichlet problem for equations of Monge-Ampère type (English)
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1986
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From the author's abstract. - ''We consider a generalization of the Dirichlet problem for equations of Monge-Ampère type under weaker hypotheses than those which are generally necessary for the solvability of the Dirichlet problem in the classical sense. We prove that there exists a unique smooth convex function which satisfies the equation in the classical sense and the boundary condition in a certain generalized sense.''
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existence
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uniqueness
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convex solution
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Dirichlet problem
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equations of Monge-Ampère type
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