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

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dc.contributor.areamathematicsen_US
dc.contributor.authorBraides, Andrea
dc.contributor.authorDal Maso, Gianni
dc.date.accessioned2022-04-27T09:22:18Z
dc.date.available2022-04-27T09:22:18Z
dc.date.issued2022-04-04
dc.descriptionPreprint SISSA 8/2022/MATEen_US
dc.description.abstractWe 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.en_US
dc.description.sponsorshipThis paper is based on work supported by the National Research Project (PRIN 2017) “Variational Methods for Stationary and Evolution Problems with Singularities and Interfaces”, funded by the Italian Ministry of University, and Research. The authors are members of the Gruppo Nazionale per l’Analisi Matematica, la Probabilit`a e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM).en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35443
dc.language.isoenen_US
dc.subjectnon-local functionalsen_US
dc.subjectΓ-convergenceen_US
dc.subjectMosco convergenceen_US
dc.subjectgraphonsen_US
dc.subjectcut normen_US
dc.titleContinuity of some non-local functionals with respect to a convergence of the underlying measuresen_US
dc.typePreprinten_US
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