English

Multi-Bubble Isoperimetric Problems

Differential Geometry 2025-10-09 v1 Functional Analysis Spectral Theory

Abstract

We survey recent advancements in the characterization of multi-bubble isoperimetric minimizers and the stability of soap bubble partitions. We conclude with some related open problems.

Cite

@article{arxiv.2510.07078,
  title  = {Multi-Bubble Isoperimetric Problems},
  author = {Emanuel Milman},
  journal= {arXiv preprint arXiv:2510.07078},
  year   = {2025}
}

Comments

To appear in the Proceedings of the ICM 2026

R2 v1 2026-07-01T06:24:05.255Z