Geodesic
Sharp stability inequalities for planar double bubbles
Marco Cicalese1 orcid ; Gian Paolo Leonardi2 orcid ; Francesco Maggi3
1Technische Universität München, Germany
2Università di Modena e Reggio Emilia, Modena, Italy
3The University of Texas at Austin, USA
Interfaces and free boundaries, Tome 19 (2017) no. 3, pp. 305-350

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DOI

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 [8] with an ad hoc analysis of the problem, which addresses the delicate interaction between the (possible) dislocation of singularities and the multiple-volumes constraint.
DOI : 10.4171/ifb/384
Classification : 49-XX
Mots-clés : Isoperimetric problems, partitioning problems, stability, double-bubble

Marco Cicalese  1   ; Gian Paolo Leonardi  2   ; Francesco Maggi  3

1 Technische Universität München, Germany
2 Università di Modena e Reggio Emilia, Modena, Italy
3 The University of Texas at Austin, USA 
Marco Cicalese; Gian Paolo Leonardi; Francesco Maggi. Sharp stability inequalities for planar double bubbles. Interfaces and free boundaries, Tome 19 (2017) no. 3, pp. 305-350. doi: 10.4171/ifb/384
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     title = {Sharp stability inequalities for planar double bubbles},
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     pages = {305--350},
     year = {2017},
     volume = {19},
     number = {3},
     doi = {10.4171/ifb/384},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/384/}
}
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