Boundary regularity for solutions to the linearized Monge-Ampère equations

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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