Published Paper
Inserted: 15 sep 2017
Last Updated: 3 dec 2017
Journal: Geometric Flows
Volume: 2
Number: 1
Pages: 86-93
Year: 2017
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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