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math.AP2026
A half-space theorem for nonlocal minimal surfaces
Matteo Cozzi, Jack Thompson
We establish a half-space theorem à la Hoffman and Meeks for nonlocal minimal surfaces. Differently from the classical case, our result holds in every dimension.
math.AP2026
A fractional De Giorgi isoperimetric type inequality
Matteo Cozzi, Tomás Sanz-Perela
We establish an isoperimetric type inequality for the level sets of functions in fractional Sobolev spaces. This answers a question posed by the first author in a previous paper. T…