68 citations · 234 across the 39 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
math.AP2012★ 19 cited
Global estimates for solutions to the linearized Monge--Ampère equations
Nam Q. Le, Truyen Nguyen
In this paper, we establish global estimates for solutions to the linearized Monge-Ampère equations under natural assumptions on the domain, Monge-Ampère measures and bou…
math.AP2012★ 10 cited
Geometric properties of boundary sections of solutions to the Monge--Ampère equation and applications
Nam Q. Le, Truyen Nguyen
In this paper, we establish several geometric properties of boundary sections of convex solutions to the Monge-Ampère equations: the engulfing and separating properties and volume…
math.AP2012★ 8 cited
Global second derivative estimates for the second boundary value problem of the prescribed affine mean curvature and Abreu's equations
Nam Q. Le
In this paper we prove the global second derivative estimates for the second boundary value problem of the prescribed affine mean curvature equation where the affine mean curvature…