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

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 $W^{2,1+\epsilon }$ estimates.

References in corpus (1)

• $W^{2,1}$ regularity for solutions of the Monge-Ampère equation

Cited by in corpus (1)

• Regularity of the Monge-Ampère equation in Besov's space