Boundary regularity for solutions to the linearized Monge-Amp\`ere   equations
  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. 
Nam Le, Ovidiu Savin
math.AP