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arxiv: 1202.5566 · v3 · pith:FYLNST5Unew · submitted 2012-02-24 · 🧮 math.AP

A note on interior W^(2,1+varepsilon) estimates for the Monge-Ampere equation

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keywords equationestimatesinteriormonge-amperevarepsilonauthorsderivativesfirst
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By a variant of the techniques introduced by the first two authors in [DF] to prove that second derivatives of solutions to the Monge-Ampere equation are locally in $L\log L$, we obtain interior $W^{2,1+\varepsilon}$ estimates.

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