Marc Pegon

collaborators

2 papers

math.AP2019

Partial regularity for fractional harmonic maps into spheres

Vincent Millot, Marc Pegon, Armin Schikorra

This article addresses the regularity issue for stationary or minimizing fractional harmonic maps into spheres of order $s \in (0, 1)$ in arbitrary dimensions. It is shown that such f…

math.AP2019

Minimizing 1/2-harmonic maps into spheres

Vincent Millot, Marc Pegon

In this article, we improve the partial regularity theory for minimizing $1/2$ -harmonic maps in the case where the target manifold is the $(m - 1)$ -dimensional sphere. For $m \geq 3$ ,…