A general homogenization result for almost periodic functionals

DOI10.1016/0022-247X(91)90403-MzbMath0743.49019OpenAlexW1993801916MaRDI QIDQ1176898

Riccardo De Arcangelis

Publication date: 25 June 1992

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(91)90403-m

zbMATH Keywords

\(\Gamma\)-convergencealmost periodic integrandasymptotic behavior of the solutions of variational problemslinear coerciveness

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (8)

Homogenization of integral functionals with linear growth defined on vector-valued functions ⋮ A characterization of families of function sets described by constraints on the gradient ⋮ Homogenization problems in the calculus of variations: an overview ⋮ The Lavrentieff phenomenon And Different processes of Homogenization ⋮ Homogenization of almost periodic monotone operators ⋮ Comparison results for some types of relaxation of variational integral functionals ⋮ Metrical almost periodicity and applications ⋮ On the relaxation of some classes of dirichlet minimum problems

Cites Work

• Homogenization in weighted Sobolev spaces
• Funzioni BV e tracce
• Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
• \(\Gamma\)-limits of integral functionals
• Some properties of Gamma-limits of integral functionals
• Weak convergence of completely additive vector functions on a set
• Sublinear functions of measures and variational integrals
• On the Definition and Properties of Certain Variational Integrals
• Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité
• AVERAGING DIFFERENTIAL OPERATORS WITH ALMOST PERIODIC, RAPIDLY OSCILLATING COEFFICIENTS
• Homogenization of non-uniformly elliptic operators†
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A general homogenization result for almost periodic functionals