The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter
type: Item
instance of: scholarly article
title: The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter
zbMATH Open document ID: 0738.49023
author: N. E. Zubov
published in: Pacific Journal of Mathematics
publication date: 1993-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 49Q05
zbMATH DE Number: 4216171
zbMATH Keywords: isoperimetric problem
zbMATH Keywords: double bubble
zbMATH Keywords: least-perimeter
MaRDI profile type: Publication
full work available at URL: pjm.1993.159.47
OpenAlex ID: W2051150310
DOI: 10.2140/PJM.1993.159.47
description: scientific article; zbMATH DE number 4216171