Homogenization in general periodically perforated domains by a spectral approach

DOI10.1007/S005260100115zbMath1028.35018OpenAlexW6990490MaRDI QIDQ1849399

Marc Briane

Publication date: 1 December 2002

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260100115

zbMATH Keywords

Neumann problem\(n\)th-eigenvalue

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Effective constitutive equations in solid mechanics (74Q15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

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A general homogenization result of spectral problem for linearized elasticity in perforated domains. ⋮ On an optimal shape design problem in conduction

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