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 20 Apr 2015

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Submitted Paper

Inserted: 5 nov 2012
Last Updated: 20 apr 2015

Year: 2015

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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