Partial regularity for fractional harmonic maps into spheres
Résumé
This article addresses the regularity issue for stationary or minimizing fractional harmonic maps into spheres of order s ∈ (0, 1) in arbitrary dimensions. It is shown that such fractional harmonic maps are C ∞ away from a small closed singular set. The Hausdorff dimension of the singular set is also estimated in terms of s ∈ (0, 1) and the stationar-ity/minimality assumption.
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