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

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

2012-02-24

arxiv.org/abs/1202.5566v2

Mathematics

Analysis of PDEs

Scientific paper

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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