Geodesic
Homogenization of periodic nonconvex integral functionals in terms of Young measures
ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 1, pp. 35-51

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Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the Γ-limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.

DOI : 10.1051/cocv:2005031
Classification : 35B27, 49J45, 74N15
Keywords: Young measures, homogenization 
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     author = {Hafsa, Omar Anza and Mandallena, Jean-Philippe and Michaille, G\'erard},
     title = {Homogenization of periodic nonconvex integral functionals in terms of {Young} measures},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {35--51},
     publisher = {EDP-Sciences},
     volume = {12},
     number = {1},
     year = {2006},
     doi = {10.1051/cocv:2005031},
     mrnumber = {2192067},
     zbl = {1107.49013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005031/}
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Hafsa, Omar Anza; Mandallena, Jean-Philippe; Michaille, Gérard. Homogenization of periodic nonconvex integral functionals in terms of Young measures. ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 1, pp. 35-51. doi: 10.1051/cocv:2005031

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