Calculus of Variations and Geometric Measure Theory

M. Cicalese - G. P. Leonardi - F. Maggi

Sharp stability inequalities for planar double bubbles

created by maggi on 05 Nov 2012
modified by leonardi on 31 Jan 2024

[BibTeX]

Published Paper

Inserted: 5 nov 2012
Last Updated: 31 jan 2024

Journal: Interfaces and Free Boundaries
Volume: 19
Number: 3
Pages: 305–350
Year: 2017

ArXiv: 1211.3698 PDF

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.


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