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arxiv: 1109.5677 · v1 · pith:5D275OWJnew · submitted 2011-09-26 · 🧮 math.AP

Boundary regularity for solutions to the linearized Monge-Amp\`ere equations

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keywords boundaryequationsestimatesgradientholderlinearizedmonge-ampereregularity
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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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