Submitted Paper
Inserted: 29 jun 2017
Last Updated: 30 jun 2017
Year: 2017
Abstract:
We prove that, in the limit as $k \to + \infty$, the hexagonal honeycomb solves the optimal partition problem in which the criterion is minimizing the largest among the Cheeger constants of $k$ mutually disjoint cells in a planar domain. As a by-product, the same result holds true when the Cheeger constant is replaced by the first Robin eigenvalue of the Laplacian.
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