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

Braides, A
•
Dal Maso, G
2023
  • journal article

Periodico
JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES
Abstract
We study some non-local functionals on the Sobolev space Wo,p(12) involving a double integral on 12 x12 with respect to a measure mu. We introduce a suitable notion of convergence of measures on product spaces which implies a stability property in the sense of the Gamma-convergence of the corresponding functionals. (c) 2022 Elsevier Masson SAS. All rights reserved.
DOI
10.1016/j.matpur.2022.12.005
WOS
WOS:000975791300001
Archivio
https://hdl.handle.net/20.500.11767/135816
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85144789711
https://arxiv.org/abs/2204.01552
Diritti
open access
Soggetti
  • ?-convergence

  • Mosco convergence

  • Graphons

  • Cut norm

  • Non-local functionals...

  • Settore MAT/05 - Anal...

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