On the Dirichlet problem for the biharmonic equation in a domain, perforated along manifolds of small dimension
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Publication:1385906
zbMath0894.31003MaRDI QIDQ1385906
Tatiana A. Shaposhnikova, Olga A. Oleinik
Publication date: 23 June 1998
Published in: Doklady Mathematics (Search for Journal in Brave)
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Homogenization in perforated domains beyond the periodic setting. ⋮ \(\Sigma \)-convergence of nonlinear monotone operators in perforated domains with holes of small size.
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