Homogenization of nonconvex integrals with convex growth

DOI10.1016/j.matpur.2011.03.003zbMath1242.49026arXiv1101.0830OpenAlexW2964088956MaRDI QIDQ2276065

Omar Anza Hafsa, Jean-Philippe Mandallena

Publication date: 16 August 2011

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0830

zbMATH Keywords

homogenizationnonconvex integrandsconvex growthdeterminant type constraints

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (10)

Stochastic homogenization of nonconvex unbounded integral functionals with convex growth ⋮ Integral representation of unbounded variational functionals on Sobolev spaces ⋮ Radial extension of \(\Gamma\)-limits ⋮ Homogenization of unbounded integrals with quasiconvex growth ⋮ Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces ⋮ Homogenization of nonconvex unbounded singular integrals ⋮ New homogenization results for convex integral functionals and their Euler-Lagrange equations ⋮ Radial representation of lower semicontinuous envelope ⋮ Quantitative homogenization in nonlinear elasticity for small loads ⋮ Homogenization of the nonlinear bending theory for plates

Cites Work

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• Homogenization of unbounded singular integrals in \(W^{1,\infty}\)
• Relaxation of variational problems in two-dimensional nonlinear elasticity
• Global-local subadditive ergodic theorems and application to homogenization in elasticity.
• Homogenization of nonconvex integral functionals and cellular elastic materials
• Homogenization of multiparameter integrals
• Relaxation theorems in nonlinear elasticity
• The lower quasiconvex envelope of the stored energy function for an elastic crystal
• On the homogenization of singular integrals
• On the lower semicontinuous quasiconvex envelope for unbounded integrands (I)
• Ergodic theorems for superadditive processes.
• Relaxation of singular functionals defined on Sobolev spaces
• On the integral representation of relaxed functionals with convex bounded constraints

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