On a problem of homogenization with quickly oscillating constraints on the gradient

DOI10.1016/0022-247X(82)90056-7zbMath0499.49007OpenAlexW2044845451MaRDI QIDQ1171749

Luciano Carbone, Saverio Salerno

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(82)90056-7

zbMATH Keywords

homogenizationgamma-convergencequickly oscillating constraints

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items

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 with unbounded constraints on the gradient ⋮ Homogenization of Dirichlet problems with convex bounded constraints on the gradient ⋮ Integral representation and relaxation of local functionals ⋮ Further results on a problem of homogenization with constraints on the gradient

Cites Work

• Some properties of Gamma-limits of integral functionals
• 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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