Homogenization of Dirichlet problems with convex bounded constraints on the gradient

DOI10.4171/ZAA/1164zbMath1071.49011OpenAlexW1984798170MaRDI QIDQ1431144

Luigi De Pascale, Thierry Champion

Publication date: 27 May 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1164

zbMATH Keywords

homogenizationconstrained variational problemsMoreau-Yosida approximation

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

Deterministic homogenization of integral functionals with convex integrands ⋮ Deterministic homogenization on problems of minimal hypersurface type ⋮ A note on locking materials and gradient polyconvexity ⋮ Two-scale convergence of integral functionals with convex, periodic and nonstandard growth integrands

Cites Work

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• Further results on a problem of homogenization with constraints on the gradient
• On a problem of homogenization with quickly oscillating constraints on the gradient
• Sur la convergence des intégrales du type de l'energie sur des fonctions à gradient borne
• Sur un problème d'homogeneisation avec des contraintes sur le gradient
• Homogenization of Dirichlet problems with nonnegative bounded constraints of the gradient
• A characterization of families of function sets described by constraints on the gradient
• Homogenization with unbounded constraints on the gradient
• Γ^-Convergence d'integrales sur des fonctions avec des contraimtes sur le gradient

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