Work

The standard double soap bubble in R2uniquely minimizes perimeter

Year: 1993

Type: article

Abstract: Of course the circle is the least-perimeter way to enclose a region of prescribed area in the plane.This paper proves that a certain standard "double bubble" is the least-perimeter way to enclose and separate two regions of prescribed areas.The solution for three regions remains conjectural.COROLLARY 2.10.Increasing either given area A\, A 2 increases the perimeter of the perimeter-minimizing double bubble.

Source: Pacific Journal of Mathematics

DOI: 10.2140/pjm.1993.159.47

Authors: Joel Foisy, Manuel Alfaro Garcia, Jeffrey Brock, Nickelous Hodges, Jason Zimba

Institution: Williams College

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Williams College

OpenAlex ID: W2051150310