A Functional Analytic Approach to Homogenization Problems

DOI10.1007/978-3-319-16727-5_30zbMath1469.74094OpenAlexW2413302192MaRDI QIDQ2799411

Massimo Lanza de Cristoforis, Paolo Musolino

Publication date: 11 April 2016

Published in: Integral Methods in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-16727-5_30

zbMATH Keywords

Dirichlet problemBanach spacePoisson equationperiodically perforated domainsingularly perturbed domainreal analytic continuation

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (1)

Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach

Cites Work

• Weakly singular and microscopically hypersingular load perturbation for a nonlinear traction boundary value problem: a functional analytic approach
• A singularly perturbed Dirichlet problem for the Laplace operator in a periodically perforated domain. A functional analytic approach
• Stokes flow in a singularly perturbed exterior domain
• Asymptotic treatment of perforated domains without homogenization
• Unnamed Item

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