Homogenization with unbounded constraints on the gradient

DOI10.1016/0362-546X(85)90003-3zbMath0557.49006OpenAlexW1979343242MaRDI QIDQ3222754

Luciano Carbone, Saverio Salerno

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90003-3

zbMATH Keywords

homogenizationelastoplastic problemsunbounded constraints on the gradient

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (4)

Homogenization of Dirichlet problems with nonnegative bounded constraints of the gradient ⋮ A characterization of families of function sets described by constraints on the gradient ⋮ Some remarks on a problem of homogenization with fixed traces ⋮ Homogenization of Dirichlet problems with convex bounded constraints on the gradient

Cites Work

• Homogenization in open sets with holes
• Some properties of Gamma-limits of integral functionals
• 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
• On totally differentiable and smooth functions
• Γ^-Convergence d'integrales sur des fonctions avec des contraimtes sur le gradient
• Homogenization of non-uniformly elliptic operators†
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