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math.AP2011★ 5 cited
Boundary regularity for solutions to the linearized Monge-Ampère equations
Nam Le, Ovidiu Savin
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 an…
math.AP2011★ 3 cited
Some minimization problems in the class of convex functions with prescribed determinant
Nam Le, Ovidiu Savin
We consider minimizers of linear functionals of the type $$L(u)=\int_{\p Ω} u \, d σ- \int_Ω u \, dx$$ in the class of convex functions with prescribed determinant $\det D^2 u…