Regularity theory for non-local almost minimal surfaces via Euler-Lagrange inequalities at small scales

Serena Dipierro, Ovidiu Savin, Enrico Valdinoci +1

We extend the notion of non-local almost minimal sets introduced in [Dipierro, Valdinoci, and Villa, J. Math. Pures Appl. (2026)] by admitting lower-order powers for the remainder…