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

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

2010-10-08

arxiv.org/abs/1010.1745v3

Mathematics

Analysis of PDEs

Corrected typo on page 3, remark 3

Scientific paper

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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