| Contents |
| We present some rigidity and regularity results for
the minimizers of a nonlocal perimeter functional.
In particular, these minimizers are smooth in the plane
and when the fractional parameter is sufficiently
close to the integer value, and a Bernstein-type theorem
holds true. The results were obtained
in joint works with B. Barrios, L. Caffarelli, A. Figalli
and O. Savin. |
|