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arxiv: 1410.0268 · v2 · pith:ON6FU6WSnew · submitted 2014-10-01 · 🧮 math.AP

A non local Monge-Ampere equation

classification 🧮 math.AP
keywords localmonge-ampereoperatoranalogequationfullglobalintroduce
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We introduce a non local analog to the Monge-Ampere operator and show some of its properties. We prove that a global problem involving this operator has C 1,1 solutions in the full space.

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