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Connectedness of sublevels of integral functionals - MaRDI portal

Connectedness of sublevels of integral functionals (Q1897581)

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scientific article; zbMATH DE number 792853
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Connectedness of sublevels of integral functionals
scientific article; zbMATH DE number 792853

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    Connectedness of sublevels of integral functionals (English)
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    5 March 1996
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    The author proves the connectedness of sublevels of integral functionals involving measurable functions defined on the product of a \(\sigma\)- finite atomless measure space and of a real Banach space. Then, the case of sup-measurable functions is also pointed out.
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    connectedness
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    sublevels
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    integral functionals
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    \(\sigma\)-finite atomless measure space
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    Banach space
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    sup-measurable functions
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