Existence of a non-standard isoperimetric triple partition

Fuente: arXiv
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Autores principales: Novaga, Matteo, Paolini, Emanuele, Tortorelli, Vincenzo Maria
Formato: Preprint
Publicado: 2025
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author Novaga, Matteo
Paolini, Emanuele
Tortorelli, Vincenzo Maria
author_facet Novaga, Matteo
Paolini, Emanuele
Tortorelli, Vincenzo Maria
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_14112
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Existence of a non-standard isoperimetric triple partition
Novaga, Matteo
Paolini, Emanuele
Tortorelli, Vincenzo Maria
Analysis of PDEs
Differential Geometry
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.
title Existence of a non-standard isoperimetric triple partition
topic Analysis of PDEs
Differential Geometry
url https://arxiv.org/abs/2507.14112