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arXiv · 2602.18848

Partial regularity in nonlocal systems II

Cristiana De Filippis·Giuseppe Mingione·Simon Nowak
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Abstract

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 $n-2$, and which is empty when $n=2$.

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Cristiana De Filippis, Giuseppe Mingione, Simon Nowak. 2026-02-21. Partial regularity in nonlocal systems II. https://arxiv.org/abs/2602.18848

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