A note on concentrations for integral two-scale problems

Abstract

This work is devoted to the characterization of the asymptotic behavior, as {ε n } goes to zero, of a family of integral functionals of the form Ω f (x, x/ε n , ∇u n (x)) dx in terms of measures of oscillation and concentration associated to the sequence {( x/ε n , ∇u n (x))}.