A general homogenization result for almost periodic functionals
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Publication:1176898
DOI10.1016/0022-247X(91)90403-MzbMath0743.49019OpenAlexW1993801916MaRDI QIDQ1176898
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
\(\Gamma\)-convergencealmost periodic integrandasymptotic behavior of the solutions of variational problemslinear coerciveness
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†
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