On the size of the singular set of minimizing harmonic maps into the 2-sphere in dimension four and higher

Katarzyna Mazowiecka, Michał Miśkiewicz, Armin Schikorra

We extend the results of our recent preprint [arXiv: 1811.00515] into higher dimensions $n\ge 4$. For minimizing harmonic maps $u\in W^{1,2}(\Omega ,{\mathbb{S}}^2)$ from $n$-dimensional…