Averaging of nonlinear variational problems in perforated domains (Q1374917)

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scientific article; zbMATH DE number 1099393
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English
Averaging of nonlinear variational problems in perforated domains
scientific article; zbMATH DE number 1099393

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    Averaging of nonlinear variational problems in perforated domains (English)
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    27 April 1999
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    The author considers the homogenization problem for convex coercive Lagrangians of power growth in perforated domains. It is suggested an approach to this problem, which does not use extension techniques for Sobolev spaces. Instead, it is based on the notions of connectedness and \(p\)-connectedness.
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    homogenization
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    convex coercive Lagrangians
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    connectedness
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