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
Full-text PDF
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