Solutions to nonlinear nonlocal systems of order 2s>1 are C^{1,α} (α<2s-1) outside a singular set of Hausdorff dimension <n-2 (empty for n=2).
Giusti,Direct methods in the Calculus of Variations.Singapore: World Scientific
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Partial regularity in nonlocal systems II
Solutions to nonlinear nonlocal systems of order 2s>1 are C^{1,α} (α<2s-1) outside a singular set of Hausdorff dimension <n-2 (empty for n=2).