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On the homogenization of some nonlinear problems in perforated domains - MaRDI portal

On the homogenization of some nonlinear problems in perforated domains (Q1174516)

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scientific article; zbMATH DE number 8968
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On the homogenization of some nonlinear problems in perforated domains
scientific article; zbMATH DE number 8968

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    On the homogenization of some nonlinear problems in perforated domains (English)
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    25 June 1992
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    Homogenization of a class of nonlinear elliptic Neumann problems in perforated domains of \(R^ n\) is studied. The perforation is given by a set \(T_ \varepsilon\) of holes which are removed from a fixed bounded domain \(\Omega\subset R^ n\). The holes are characterized by \(\varepsilon>0\). The asymptotic behaviour as \(\varepsilon\to 0\) of the solutions \(u_ \varepsilon\) of the problem on the perforated domain is studied.
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    nonlinear elliptic Neumann problems
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