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

preprint2012arXivOpen access

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

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A note on interior W2,1+εW^{2,1+\varepsilon}W2,1+ε estimates for the Monge-Ampere equation

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