1 citations · 1 across the 3 of their papers we have counts for
4 papers
On the multiple membranes problem
Ovidiu Savin, Hui Yu
We establish the optimal regularity for solutions to the multiple membranes problem, and perform a blow-up analysis at points on the free boundary with the highest multiplicity. Th…
A curvature flow in the plane with a nonlocal term
Luis Caffarelli, Hui Yu
We study the geometric flow of a planar curve driven by its curvature and the normal derivative of its capacity potential. Under a convexity condition that is natural to our proble…
Minimizing fractional harmonic maps on the real line in the supercritical regime
Vincent Millot, Yannick Sire, Hui Yu
This article addresses the regularity issue for minimizing fractional harmonic maps of order from an interval into a smooth manifold. Hölder continuity away from a lo…
An optimization problem in heat conduction with minimal temperature constraint, interior heating and exterior insulation
Hui Yu
We show the existence and optimal regularity of the optimal temperature configuration in a problem in heat conduction with minimal temperature constraint, interior heating and exte…