68 citations · 234 across the 39 of their papers we have counts for
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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…
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…
Role of crystal structure and junction morphology on interface thermal conductance
Carlos A. Polanco, Rouzbeh Rastgarkafshgarkolaei, Jingjie Zhang +4
We argue that the relative thermal conductance between interfaces with different morphologies is controlled by crystal structure through , the ratio between the {\…
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…