Continuity of some non-local functionals with respect to a convergence of the underlying measures

Braides, AndreaDal Maso, Gianni2022-04-272022-04-272022-04-04https://openscience.sissa.it/handle/1963/35443Preprint SISSA 8/2022/MATEWe study some non-local functionals on the Sobolev space W1,p0(Ω) involving a double integral on Ω × Ω with respect to a measure µ. We introduce a suitable notion of convergence of measures on product spaces which implies a stability property in the sense of Γ-convergence of the corresponding functionals.ennon-local functionalsΓ-convergenceMosco convergencegraphonscut normContinuity of some non-local functionals with respect to a convergence of the underlying measuresPreprint