Continuity of some non-local functionals with respect to a convergence of the underlying measures
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Date
2022-04-04
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Abstract
We 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.
Description
Preprint SISSA 8/2022/MATE
Keywords
non-local functionals, Γ-convergence, Mosco convergence, graphons, cut norm