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Remark on the well-posedness of the problem of minimization of integral functionals - MaRDI portal

Remark on the well-posedness of the problem of minimization of integral functionals (Q1121515)

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scientific article; zbMATH DE number 4103822
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English
Remark on the well-posedness of the problem of minimization of integral functionals
scientific article; zbMATH DE number 4103822

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    Remark on the well-posedness of the problem of minimization of integral functionals (English)
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    1990
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    We study the well-posedness of the problem of constrained minimization of an integral functional and show that global well-posedness is equivalent to pointwise well-posedness almost everywhere. Our result extends an earlier one by \textit{I. Zolezzi} [ibid. 31, 417-430 (1980; Zbl 0417.49012)].
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    measurable multifunctions
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    integrable selectors
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    normal integrands
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    minimizing sequences
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    constrained minimization
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    integral functional
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    global well-posedness
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