Homogenization of monotone operators in divergence form with \(x\)-dependent multivalued graphs

DOI10.1007/s10231-009-0094-9zbMath1180.35077OpenAlexW2029870566MaRDI QIDQ842513

Gilles A. Francfort, Luc Tartar, François Murat

Publication date: 25 September 2009

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0094-9

zbMATH Keywords

\(H\)-convergencemaximal extensionmonotone graphs

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (10)

Quantitative nonlinear homogenization: control of oscillations ⋮ <i>H</i>-Compactness of Elliptic Operators on Weighted Riemannian Manifolds ⋮ Homogenization of plasticity equations with two-scale convergence methods ⋮ On the commutability of homogenization and linearization in finite elasticity ⋮ Asymptotic behaviour of renormalized solutions to elliptic equations with measure data and \(G\)-converging operators ⋮ Non-periodic homogenization of infinitesimal strain plasticity equations ⋮ The div-curl lemma ``trente ans après: an extension and an application to the \(G\)-convergence of unbounded monotone operators ⋮ Unnamed Item ⋮ Elliptic operators with nonstandard growth condition: Some results and open problems ⋮ Weak structural stability of pseudo-monotone equations

Cites Work

• G-convergence of monotone operators
• The general theory of homogenization. A personalized introduction
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