Involve: A Journal of Mathematics
- Volume 4, Number 3 (2011), 271-276.
Soap film realization of isoperimetric surfaces with boundary
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.
Involve, Volume 4, Number 3 (2011), 271-276.
Received: 7 April 2011
Revised: 12 April 2011
Accepted: 14 April 2011
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 49Q10: Optimization of shapes other than minimal surfaces [See also 90C90]
Secondary: 49Q05: Minimal surfaces [See also 53A10, 58E12] 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]
Ross, Jacob; Sampson, Donald; Steinburg, Neil. Soap film realization of isoperimetric surfaces with boundary. Involve 4 (2011), no. 3, 271--276. doi:10.2140/involve.2011.4.271. https://projecteuclid.org/euclid.involve/1513733397