On the non-uniqueness of locally minimizing clusters via singular cones

Lia Bronsard, Robin Neumayer, Michael Novack +1

We construct partitions of ${\mathbb{R}}^n$ into three sets $\{\mathcal{X}(1),\mathcal{X}(2),\mathcal{X}(3)\}$ that locally minimize interfacial area among compactly supported volume…