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arXiv · 1710.04754

Minimizing fractional harmonic maps on the real line in the supercritical regime

Vincent Millot·Yannick Sire·Hui Yu
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Abstract

This article addresses the regularity issue for minimizing fractional harmonic maps of order $s\in(0,1/2)$ from an interval into a smooth manifold. H\"older continuity away from a locally finite set is established for a general target. If the target is the standard sphere, then H\"older continuity holds everywhere.

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Vincent Millot, Yannick Sire, Hui Yu. 2017-10-13. Minimizing fractional harmonic maps on the real line in the supercritical regime. https://arxiv.org/abs/1710.04754

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