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Coalescence of measures and \(f\)-rearrangements of a function (Q1974110)

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scientific article; zbMATH DE number 1441666
Language Label Description Also known as
English
Coalescence of measures and \(f\)-rearrangements of a function
scientific article; zbMATH DE number 1441666

    Statements

    title
    Coalescence of measures and \(f\)-rearrangements of a function (English)
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    author
    Lucio R. Berrone
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    publication date
    10 May 2001
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    review text
    The author studies an optimal shape problem. Let \(\mu\) and \(\nu\) be Borel measures on a space \(X\) and suppose that the set of \(\mu\)-measurable sets \(E\) with prescribed measure \(\mu(E)= c\) is nonempty. Then \(\nu(E)\) is maximized among those sets. Under suitable assumptions the optimal shapes are characterized in terms of rearrangements of the Radon-Nikodým derivative \(d\nu/d\mu\).
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    zbMATH Keywords
    optimal shape problem
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    rearrangements
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    Radon-Nikodým derivative
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    Identifiers

    zbMATH DE Number
    1441666
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    OpenAlex ID
    W2083509041
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