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arXiv · 2008.13110

Asymptotic analysis of a family of non-local functionals on sets

Michela Eleuteri·Luca Lussardi·Andrea Torricelli
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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.

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Michela Eleuteri, Luca Lussardi, Andrea Torricelli. 2020-08-30. Asymptotic analysis of a family of non-local functionals on sets. https://arxiv.org/abs/2008.13110

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