English

Sharp stability inequalities for planar double bubbles

Analysis of PDEs 2015-04-23 v2

Abstract

In this paper we address the global stability problem for double-bubbles in the plane. This is accomplished by combining the "improved convergence theorem" for planar clusters developed in arXiv:1409.6652 with an ad hoc analysis of the problem, which addresses the delicate interaction between the (possible) dislocation of singularities and the multiple-volumes constraint.

Keywords

Cite

@article{arxiv.1211.3698,
  title  = {Sharp stability inequalities for planar double bubbles},
  author = {Marco Cicalese and Gian Paolo Leonardi and Francesco Maggi},
  journal= {arXiv preprint arXiv:1211.3698},
  year   = {2015}
}

Comments

This version has been updated to interface with the latest version of arXiv:1409.6652

R2 v1 2026-06-21T22:39:10.109Z