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arXiv · 2407.07534

Minimal periodic foams with fixed inradius

Annalisa Cesaroni·Matteo Novaga
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Abstract

In this note we show existence and regularity of periodic tilings of the Euclidean space into equal cells containing a ball of fixed radius, which minimize either the classical or the fractional perimeter. We also discuss some qualitative properties of minimizers in dimensions $3$ and $4$.

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Annalisa Cesaroni, Matteo Novaga. 2024-07-10. Minimal periodic foams with fixed inradius. https://arxiv.org/abs/2407.07534

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