The standard double bubble is the unique stable double bubble in 𝐑²

Morgan, Frank; Wichiramala, Wacharin

doi:10.1090/S0002-9939-02-06640-6

The standard double bubble is the unique stable double bubble in $\mathbf{R}^2$

Authors: Frank Morgan and Wacharin Wichiramala
Journal: Proc. Amer. Math. Soc. 130 (2002), 2745-2751
MSC (2000): Primary 53A10, 49Q20, 53Cxx
DOI: https://doi.org/10.1090/S0002-9939-02-06640-6
Published electronically: April 17, 2002
MathSciNet review: 1900881
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Abstract: We prove that the only equilibrium double bubble in $\mathbf{R}^2$ which is stable for fixed areas is the standard double bubble. This uniqueness result also holds for small stable double bubbles in surfaces, where it is new even for perimeter-minimizing double bubbles.

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