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arXiv · 1709.05284

Isoperimetric problems for a nonlocal perimeter of Minkowski type

Annalisa Cesaroni·Matteo Novaga
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Abstract

We prove a quantitative version of the isoperimetric inequality for a non local perimeter of Minkowski type. We also apply this result to study isoperimetric problems with repulsive interaction terms, under convexity constraints. We show existence of minimizers, and we describe the shape of minimizers in certain parameter regimes.

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Annalisa Cesaroni, Matteo Novaga. 2017-09-15. Isoperimetric problems for a nonlocal perimeter of Minkowski type. https://arxiv.org/abs/1709.05284

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