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https://hdl.handle.net/2142/86806
Description
Title
The Planar Triple Bubble Problem
Author(s)
Wichiramala, Wacharin
Issue Date
2002
Doctoral Committee Chair(s)
Sullivan, John M.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
We prove the planar triple bubble conjecture that the standard triple bubble is the unique least-perimeter way to enclose and separate three regions of given areas. We also prove a bound on the number of convex components and a bound on the number of all components in any minimizing planar bubble.
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