Minimizing fractional harmonic maps on the real line in the supercritical regime
Analysis of PDEs
2017-10-16 v1
Abstract
This article addresses the regularity issue for minimizing fractional harmonic maps of order 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.
Keywords
Cite
@article{arxiv.1710.04754,
title = {Minimizing fractional harmonic maps on the real line in the supercritical regime},
author = {Vincent Millot and Yannick Sire and Hui Yu},
journal= {arXiv preprint arXiv:1710.04754},
year = {2017}
}
Comments
18 pages