Boundary regularity for solutions to the linearized Monge-Ampère equations

Published 26 Sep 2011 in math.AP | (1109.5677v1)

Abstract: We obtain boundary Holder gradient estimates and regularity for solutions to the linearized Monge-Ampere equations under natural assumptions on the domain, Monge-Ampere measures and boundary data. Our results are affine invariant analogues of the boundary Holder gradient estimates of Krylov.

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