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

created by dephilipp on 24 Feb 2012
modified by figalli on 24 Dec 2012

[BibTeX]

Accepted Paper

Inserted: 24 feb 2012
Last Updated: 24 dec 2012

Journal: Math. Ann.
Year: 2012

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-Ampère equation are locally in $L\log L$, we obtain interior $W^{2,1+\varepsilon}$ estimates.