9/11/2017 Nonlocal isoperimetric problems

Matteo Novaga (Università di Pisa)

Aula B3, ore 15

I consider a class of nonlocal generalized perimeters which includes fractional perimeters and Riesz type potentials. I will show a general isoperimetric inequality for such functionals, and discuss the existence of an isoperimetric profile, under suitable assumptions on the interaction kernel.