An optimal relative isoperimetric inequality in concave cylindrical domains in \(\mathbb{R}^n\) (Q1974155)
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scientific article; zbMATH DE number 1441784
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An optimal relative isoperimetric inequality in concave cylindrical domains in \(\mathbb{R}^n\) |
scientific article; zbMATH DE number 1441784 |
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An optimal relative isoperimetric inequality in concave cylindrical domains in \(\mathbb{R}^n\) (English)
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27 November 2000
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Generalizing the two-dimensional relative isoperimetric inequality \(L^2\geq 2\pi A\) in a planar sector with angle \(\geq\pi\), the author proves an optimal relative isoperimetric inequality in concave cylindrical domains in \(\mathbb{R}^n\). This inequality is related to the Sobolev inequalities and the mixed boundary value problems of partial differential equations.
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Sobolev inequality
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relative isoperimetric inequality
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cylindrical domains
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