A localization property at the boundary for the Monge-Ampere equation
classification
🧮 math.AP
keywords
boundarymonge-amperesectionsboundedcenteredconditionsconsiderellipsoids
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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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