Inserted: 20 jul 2017
Last Updated: 31 oct 2017
Journal: Discrete Contin. Dyn. Syst. S
We consider a class of nonlocal generalized perimeters which includes fractional perimeters and Riesz type potentials. We prove a general isoperimetric inequality for such functionals, and we discuss some applications. In particular we prove existence of an isoperimetric profile, under suitable assumptions on the interaction kernel.