68 citations · 234 across the 39 of their papers we have counts for
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math.AP2015
Boundary Harnack inequality for the linearized Monge-Ampère equations and applications
Nam Q. Le
In this paper, we obtain boundary Harnack estimates and comparison theorem for nonnegative solutions to the linearized Monge-Ampère equations under natural assumptions on the domai…
math.AP2015
Remarks on the Green's function of the linearized Monge-Ampère operator
Nam Q. Le
In this note, we obtain sharp bounds for the Green's function of the linearized Monge-Ampère operators associated to convex functions with either Hessian determinant bounded away f…
math.AP2015
Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions
Nam Q. Le, Ovidiu Savin
We obtain estimates up to the boundary for solutions to degenerate Monge-Ampère equations of the type $$ \det D^2 u = f~~\text{in}~Ω, \quad \quad ~f\sim \text{dist}^α(\cd…