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A note on interior $W^{2,1+\varepsilon}$ estimates for the Monge-Ampere equation

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arxiv 1202.5566 v3 pith:FYLNST5U submitted 2012-02-24 math.AP

classification math.AP
keywords equationestimatesinteriormonge-amperevarepsilonauthorsderivativesfirst
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abstract

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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