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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…