Limits of vectorial fractional Allen-Cahn solutions are stationary nonlocal minimal partitions, and minimizing 3-partitions are smooth outside a small singular set, even under a reversed triangle inequality for s close to 1/2.
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Fractional multi-phase transitions and nonlocal minimal partitions
Limits of vectorial fractional Allen-Cahn solutions are stationary nonlocal minimal partitions, and minimizing 3-partitions are smooth outside a small singular set, even under a reversed triangle inequality for s close to 1/2.