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arXiv · 2609.14513

Sharp comparison between the perimeter and its fractional analogue in two dimensions

Rupert L. Frank·Paata Ivanisvili
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Abstract

We show that the fractional perimeter of any order $0<s<1$ is maximal, among all planar sets of fixed perimeter, for the disk.

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Rupert L. Frank, Paata Ivanisvili. 2026-09-13. Sharp comparison between the perimeter and its fractional analogue in two dimensions. https://arxiv.org/abs/2609.14513

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