Partial regularity for fractional harmonic maps into spheres

Abstract : 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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https://hal.archives-ouvertes.fr/hal-02297231
Contributor : Vincent Millot <>
Submitted on : Wednesday, September 25, 2019 - 6:38:57 PM
Last modification on : Friday, October 4, 2019 - 1:34:31 AM

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Vincent Millot, Marc Pegon, Armin Schikorra. Partial regularity for fractional harmonic maps into spheres. 2019. ⟨hal-02297231⟩

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