\(\varGamma \)-convergence of quadratic functionals with oscillating linear perturbations

DOI10.1016/j.na.2008.09.007zbMath1180.35080OpenAlexW1979688394MaRDI QIDQ1015124

Hélia Serrano, Pablo Pedregal

Publication date: 7 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.09.007

zbMATH Keywords

\(\Gamma\)-convergencemulti-scale problemsperiodic casejoint Young measures

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Reiterated homogenization of the vector potential formulation of a magnetostatic problem in anisotropic composite media ⋮ On \(\Gamma \)-convergence in divergence-free fields through Young measures

Cites Work

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• An introduction to \(\Gamma\)-convergence
• Parametrized measures and variational principles
• $\Gamma$-Convergence through Young Measures
• A new approach to variational problems with multiple scales
• Multiscale convergence and reiterated homogenisation
• Multi-scale Young measures
• Shape optimization by the homogenization method