Bernstein theorem and regularity for a class of Monge-Ampère equations (Q360079)
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scientific article; zbMATH DE number 6201324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bernstein theorem and regularity for a class of Monge-Ampère equations |
scientific article; zbMATH DE number 6201324 |
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Bernstein theorem and regularity for a class of Monge-Ampère equations (English)
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26 August 2013
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Monge-Ampère equations
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Bernstein theorem
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Poincaré metric
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In the first part of the present paper, the authors introduce a transform for convex functions. This is the main tool to prove a Bernstein theorem for the Monge-Ampère equation in the half space and to establish the global regularity of solutions.NEWLINENEWLINE The study is inspired by problems in differential geometry, including Poincaré metrics, Minkowski-type problems, or hyperbolic affine spheres.
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