IUMJ

Title: Least-perimeter partitions of the disk into three regions of given areas

Authors: Manuel Ritore and Antonio Canete

Issue: Volume 53 (2004), Issue 3, 883-904

Abstract:

We prove that the unique least-perimeter way of partitioning the unit $2$-dimensional disk into three regions of prescribed areas is by means of the standard graph described in Figure 1.