Global $W^{2,p}$ estimates for the Monge-Ampere equation

Abstract

We obtain global $W^{2,p}$ estimates for the Monge-Ampere equation under natural assumptions on the domain and boundary data.

References in corpus (1)

• A localization property at the boundary for the Monge-Ampere equation

Cited by in corpus (4)

• A geometric characterisation of real C*-algebras
• Peeling Property of Bondi-Sachs metrics for nonzero Cosmological Constant
• Boundary regularity for solutions to the linearized Monge-Ampère equations
• On boundary Hölder gradient estimates for solutions to the linearized Monge-Ampère equations