Calculus of Variations and Geometric Measure Theory
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M. Cicalese - G. P. Leonardi - F. Maggi

Sharp stability inequalities for planar double bubbles

created by maggi on 05 Nov 2012
modified on 25 Apr 2018

[BibTeX]

Submitted Paper

Inserted: 5 nov 2012
Last Updated: 25 apr 2018

Journal: Interfaces and Free Boundaries
Year: 2017

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 we have developed in "Improved convergence theorems for bubble clusters. I. The planar case" 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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