Abstract
This work is devoted to the characterization of the asymptotic behavior, as \({\{\varepsilon_n\}}\) goes to zero, of a family of integral functionals of the form \({\int_{\Omega}f(x,\langle x/\varepsilon_n \rangle, \nabla u_{n}(x))\, dx}\) in terms of measures of oscillation and concentration associated to the sequence \({\{(\langle x/\varepsilon_n\rangle, \nabla u_{n}(x))\}}\).
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Communicated by R.De Arcangelis.
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Baía, M., Santos, P.M. A note on concentrations for integral two-scale problems. Ricerche mat. 59, 1–22 (2010). https://doi.org/10.1007/s11587-009-0069-6
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DOI: https://doi.org/10.1007/s11587-009-0069-6