Optimal pinwheel partitions for the Yamabe equation

• Published in: arXiv.org
• Main Authors: Clapp, Mónica, Faya, Jorge, Saldaña, Alberto
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.08.2024
• Subjects: Chemical partition; Invariants

We establish the existence of an optimal partition for the Yamabe equation in the whole space made up of mutually linearly isometric sets, each of them invariant under the action of a group of linear isometries. To do this, we establish the existence of a solution to a weakly coupled competitive Yam...