Minimal rearrangements of Sobolev functions: A new proof. (Q1873196)
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scientific article; zbMATH DE number 1912454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal rearrangements of Sobolev functions: A new proof. |
scientific article; zbMATH DE number 1912454 |
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Minimal rearrangements of Sobolev functions: A new proof. (English)
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19 May 2003
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The authors give a new and elegant proof of Pólya-Szegő type inequalities for functions \(u\in W^{1,p}_0(\Omega)\) and their Schwarz-symmetrizations or radially symmetric rearrangements \(u^*\). They discuss in particular the case of equality in such inequalities and give an alternative proof of the well-known result of Brother and Ziemer.
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polar factorization
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rearrangements
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Pólya-Szegő type inequalities
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