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math.AP2017
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…
math.AP2017★ 1 cited
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…