Nam Q. Le

The mean curvature at the first singular time of the mean curvature flow

Consider a family of smooth immersions

Boundary Regularity for Solutions to the Linearized Monge–Ampère Equations

F(\cdot,t): M^n\to \mathbb{R}^{n+1}

Global Second Derivative Estimates for the Second Boundary Value Problem of the Prescribed Affine Mean Curvature and Abreu's Equations

of closed hypersurfaces in

Geometric properties of boundary sections of solutions to the Monge–Ampère equation and applications

\mathbb{R}^{n+1}

Blow-up rate of the mean curvature during the mean curvature flow and a gap theorem for self-shrinkers

moving by the mean curvature flow

On the extension of the mean curvature flow

\frac{\partial F(p,t)}{\partial t} = -H(p,t)\cdot \nu(p,t)

Some minimization problems in the class of convex functions with prescribed determinant

, for

Remarks on the curvature behavior at the first singular time of the Ricci flow

t\in [0,T)

Global W^{2,p} estimates for solutions to the linearized Monge–Ampère equations

. We prove that the mean curvature blows up at the first singular time

Blow up of subcritical quantities at the first singular time of the mean curvature flow

T