Γ-Limits of Functionals Determined by their Infima
Journal of convex analysis, Tome 23 (2016) no. 1, pp. 103-137
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We study the integral representation of Γ-limits of p-coercive integral functionals of the calculus of variations in the spirit of Dal Maso and Modica (1986). We use infima of local Dirichlet problems to characterize the limit integrands. Applications to homogenization and relaxation are given.
Mots-clés : Gamma-convergence, integral representation, relaxation, homogenization
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     author = {O. Anza Hafsa and J.-P. Mandallena},
     title = {\ensuremath{\Gamma}-Limits of {Functionals} {Determined} by their {Infima}},
     journal = {Journal of convex analysis},
     pages = {103--137},
     year = {2016},
     volume = {23},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2016_23_1_JCA_2016_23_1_a4/}
}
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O. Anza Hafsa; J.-P. Mandallena. Γ-Limits of Functionals Determined by their Infima. Journal of convex analysis, Tome 23 (2016) no. 1, pp. 103-137. http://geodesic.mathdoc.fr/item/JCA_2016_23_1_JCA_2016_23_1_a4/