The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter (Q811588)
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scientific article; zbMATH DE number 4216171
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter |
scientific article; zbMATH DE number 4216171 |
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The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter (English)
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1993
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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.
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isoperimetric problem
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double bubble
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least-perimeter
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