Regularity of minimizing $p$-harmonic maps into spheres and sharp Kato inequality

Katarzyna Mazowiecka, Michał Miśkiewicz

We study regularity of minimizing $p$-harmonic maps $u:B^3\to {\mathbb{S}}^3$ for $p$ in the interval $[2,3]$. For a long time, regularity was known only for $p=3$ (essenti…