Calculus of Variations and Geometric Measure Theory
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Minimal clusters of four planar regions with the same area

Emanuele Paolini (Università di Pisa)

created by paolini on 16 Oct 2020

27 jun 2017 -- 11:30   [open in google calendar]

Centro De Giorgi - Pisa

Abstract.

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.

(Joint work with Andrea Tamagnini)

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