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Eleuteri, M; Lussardi, L; Torricelli, A, (2023)  - Asymptotic analysis of a family of non-local functionals on sets  - ESAIM. COCV, Articolo su rivista - Articolo in rivista (262) (, , ) - pagg. 1 - 15

Abstract: We study the asymptotic behavior of a family of functionals which penalize a short-range interaction of convolution type between a finite perimeter set and its complement. We first compute the pointwise limit and we obtain a lower estimate on more regulars sets. Finally, some examples are discussed.