Published Paper
Inserted: 20 jul 2017
Last Updated: 9 nov 2018
Journal: Discrete Contin. Dyn. Syst. S
Volume: 11
Number: 3
Pages: 425-440
Year: 2018
Abstract:
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.
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