68 citations · 234 across the 39 of their papers we have counts for
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math.AP2017★ 7 cited
Hölder regularity of the 2D dual semigeostrophic equations via analysis of linearized Monge-Ampère equations
Nam Q. Le
We obtain the Hölder regularity of time derivative of solutions to the dual semigeostrophic equations in two dimensions when the initial potential density is bounded away from zero…
math.AP2017
The second boundary value problem of the prescribed affine mean curvature equation and related linearized Monge-Ampère equation
Nam Q. Le
These lecture notes are concerned with the solvability of the second boundary value problem of the prescribed affine mean curvature equation and related regularity theory of the Mo…
math.AP2017
The eigenvalue problem for the Monge-Ampère operator on general bounded convex domains
Nam Q. Le
In this paper, we study the eigenvalue problem for the Monge-Ampère operator on general bounded convex domains. We prove the existence, uniqueness and variational characterization…