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.
Continuity of some non-local functionals with respect to a convergence of the underlying measures / Braides, A; Dal Maso, G. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - 170:(2023), pp. 136-149. [10.1016/j.matpur.2022.12.005]
Continuity of some non-local functionals with respect to a convergence of the underlying measures
Braides, A
;Dal Maso, G
2023-01-01
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.File in questo prodotto:
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