Partial regularity in nonlocal systems II

Cristiana De Filippis, Giuseppe Mingione, Simon Nowak

Solutions to nonlinear nonlocal systems of order $2s>1$ in ${\mathbb{R}}^n$ are $C^{1,\alpha }$, for every $\alpha <2s-1$, outside a closed singular set whose Hausdorff dimension is less than $n…