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Asymptotics of solutions of boundary value problems in periodically perforated domains with small holes

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Publication:1910260
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DOI10.1007/BF02368672zbMath0849.35007MaRDI QIDQ1910260

Alexander G. Belyaev

Publication date: 21 May 1996

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

perforation near the boundary


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Variational methods for higher-order elliptic equations (35J35)


Related Items (1)

Asymptotics for eigenvalues of the Laplacian in higher dimensional periodically perforated domains



Cites Work

  • On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity




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