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Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary - MaRDI portal

Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary (Q1873190)

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scientific article; zbMATH DE number 1912448
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Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary
scientific article; zbMATH DE number 1912448

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    Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary (English)
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    19 May 2003
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    The author studies the asymptotic behavior of a Dirichlet problem for a system of nonlinear elliptic equations in a domain with holes and zero Dirichlet condition on the boundary of holes. The convergence of the solutions in a suitable space is proved and the limit problem is characterized by capacitary methods.
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    limit problem
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    capacitary methods
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