Preprint
Oct 2026
Regularity theory for non-local almost minimal surfaces via Euler-Lagrange inequalities at small scales
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 term. We combine classical techniques and a new, weaker version of the Euler-Lagrange inequalities (at a microscopic scale) to obtain $\math...
S. Dipierro, O. Savin, Enrico Valdinoci et al.
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