Vol. 4, No. 3, 2011

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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

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.

bubble, soap film, isoperimetric, equitent, metacalibration, minimization, minimal, surface area
Mathematical Subject Classification 2010
Primary: 49Q10
Secondary: 49Q05, 53A10
Received: 7 April 2011
Revised: 12 April 2011
Accepted: 14 April 2011
Published: 13 March 2012

Communicated by Frank Morgan
Jacob Ross
Brigham Young University
Provo, UT 84604
United States
Donald Sampson
Brigham Young University
Provo, UT 84604
United States
Neil Steinburg
Brigham Young University
Provo, UT 84604
United States