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arXiv · 1010.1745

A localization property at the boundary for the Monge-Ampere equation

Ovidiu Savin
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Abstract

We consider Monge-Ampere equations with bounded right hand side and we study the geometric properties of sections centered at a boundary point. We prove that under natural boundary conditions such sections are equivalent to ellipsoids.

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Ovidiu Savin. 2011-03-02. A localization property at the boundary for the Monge-Ampere equation. https://arxiv.org/abs/1010.1745

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