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arXiv · 1202.5566

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

Guido De philippis·Alessio Figalli·Ovidiu Savin
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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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Guido De philippis, Alessio Figalli, Ovidiu Savin. 2012-02-24. A note on interior $W^{2,1+\varepsilon}$ estimates for the Monge-Ampere equation. https://arxiv.org/abs/1202.5566

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