Calculus of Variations and Geometric Measure Theory

M. Novaga - E. Paolini - V. M. Tortorelli

Existence of a non-standard isoperimetric triple partition

created by novaga on 18 Jul 2025
modified on 21 Jul 2025

[BibTeX]

Submitted Paper

Inserted: 18 jul 2025
Last Updated: 21 jul 2025

Year: 2025

ArXiv: 2507.14112 PDF

Abstract:

We show existence of a isoperimetric $3$-partition of $\mathbb R^8$, with one set of finite volume and two of infinite volume, which is asymptotic to a singular minimal cone.