Published Paper

Inserted: 24 feb 2012
Last Updated: 13 aug 2024

Journal: Math. Ann.
Year: 2013

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.

Keywords: Monge-Ampère equation, Sobolev regularity, higher integrability

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• W21eps.pdf