Area minimizing sets subject to a volume constraint in a convex set (Q1298377)
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| Language | Label | Description | Also known as |
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| English | Area minimizing sets subject to a volume constraint in a convex set |
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Area minimizing sets subject to a volume constraint in a convex set (English)
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24 July 2000
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The paper concerns the problem of minimizing the perimeter of subsets of \(\Omega\) (a convex subset of a Euclidean space) subject to a volume constraint. The problem is to determine whether in general a minimizer is convex. It has been proved that if \(\Omega\) satisfies a ``great circle'' condition, then any minimizer is convex.
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set of finite perimeter
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area minimizing
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constant mean curvature
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volume constraint
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