The standard double bubble is the unique stable double bubble in

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 | References | Similar Articles | Additional Information

Abstract: We prove that the only equilibrium double bubble in 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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Additional Information

**Frank Morgan**

Affiliation:
Department of Mathematics and Statistics, Williams College, Williamstown, Massachusetts 01267

Email:
Frank.Morgan@williams.edu

**Wacharin Wichiramala**

Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Email:
wichiram@math.uiuc.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06640-6

Keywords:
Stable double bubble,
standard double bubble,
soap bubble

Received by editor(s):
April 18, 2001

Published electronically:
April 17, 2002

Communicated by:
Bennett Chow

Article copyright:
© Copyright 2002
by the authors