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Soap film
realization of isoperimetric surfaces with boundary
Jacob Ross, Donald Sampson and Neil Steinburg
Vol. 4 (2011), No. 3, 271–276
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Abstract |
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We examine surfaces of the type proved to be minimizing under a connectivity condition by Dorff et al. We determine which of these surfaces are stable soap films. The connectivity condition is shown to be very restrictive; few of these surfaces are stable (locally minimizing) without it. |
Keywords
bubble, soap film, isoperimetric, equitent,
metacalibration, minimization, minimal, surface area
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Mathematical Subject Classification 2010
Primary: 49Q10
Secondary: 49Q05, 53A10
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Milestones
Received: 7 April 2011
Revised: 12 April 2011
Accepted: 14 April 2011
Published: 13 March 2012
Communicated by Frank Morgan
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Authors |
| Jacob Ross | |
| Brigham Young University Provo, UT 84604 United States |
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| Donald Sampson | |
| Brigham Young University Provo, UT 84604 United States |
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| Neil Steinburg | |
| Brigham Young University Provo, UT 84604 United States |
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