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math.AP2026
Quantitative stratification and global regularity for 1/2-harmonic mappings
Changyu Guo, Guichun Jiang, Changyou Wang +2
In this paper, we extend the celebrated global regularity theory of Naber-Valtorta [Ann. Math. 2017] to 1/2-harmonic mappings into manifolds. Inspired by their work, we first adapt…
math.AP2025
Quantitative regularity for minimizing intrinsic fractional harmonic maps
Y. -Y. Wang, C. -L. Xiang, G. -F. Zheng
In this note, we study compactness and regularity theory of minimizing intrinsic fractional harmonic mappings introduced by Moser and Roberts. Based on the partial regularity theor…
math.AP2024
A global regularity theory for shpere-valued fractional harmonic maps
Yu He, ChangLin Xiang, GaoFeng Zheng
In this paper we consider sphere-valued stationary/minimizing fractional harmonic mappings introduced in recent years by several authors, especially by Millot-Pegon-Schikorra \cite…