An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres (Q1291051)
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scientific article; zbMATH DE number 1295405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres |
scientific article; zbMATH DE number 1295405 |
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An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres (English)
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3 June 1999
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The aim of this paper is to study the following equation of Monge-Ampère type, \(\det( {\partial^2 f\over\partial x_i\partial x_j})=1\), on an unbounded planar domain. We describe the behaviour at infinity of the solutions on the exterior of a bounded planar domain and we give a Maximum Principle at infinity for them with some applications.
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Monge-Ampère equation
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affine sphere
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maximum principle
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