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Homogenization of supremal functionals in the vectorial case (via \(L^p\)-approximation) - MaRDI portal

Homogenization of supremal functionals in the vectorial case (via \(L^p\)-approximation) (Q6587601)

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scientific article; zbMATH DE number 7896943
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Homogenization of supremal functionals in the vectorial case (via \(L^p\)-approximation)
scientific article; zbMATH DE number 7896943

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    Homogenization of supremal functionals in the vectorial case (via \(L^p\)-approximation) (English)
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    14 August 2024
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    The minimization problems and the pointwise behavior of the energy density on very small sets is considered in the paper. Earlier results are extended by considering homogenization for supremal functionals in the vectorial case by means of a \(\Gamma\)-limits in \(L^p\)-approximation sense. \N\NThe paper is well organized and divided in six sections. Main results are proved in sections 3 and 6.
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    \(L^\infty\) functionals
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    \(L^p\)-approximation
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    homogenization
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    pointwise gradient constraints
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    \(\Gamma\)-convergence
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