Published Paper
Inserted: 20 jul 2016
Last Updated: 25 oct 2018
Journal: ESAIM: COCV
Volume: 24
Number: 3
Pages: 1303-1331
Year: 2018
Doi: 10.1051/cocv/2017066
Abstract:
We prove that the optimal way to enclose and separate four planar regions with equal area using the less possible perimeter requires all regions to be connected. Moreover, the topology of such optimal clusters is uniquely determined.
Keywords: minimal cluster, bubbles
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