Journal of Convex Analysis 18 (2011), No. 4, 1093--1126
Copyright Heldermann Verlag 2011
An Homogenization Result in W1,p × Lq
Graca Carita
CIMA-UE, Dep. de Matemática, Universidade de Évora, Rua Romao Ramalho 59, 7000 671 Évora, Portugal
gcarita@uevora.pt
Ana Margarida Ribeiro
Dep. de Matemática and CMA, Faculdade de Cięncias e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal
amfr@fct.unl.pt
Elvira Zappale
D.I.I.M.A., Universitŕ degli Studi di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy
ezappale@unisa.it
An integral representation result is provided for the Γ-limit of integral functionals arising in homogenization problems for the study of coherent thermochemical equilibria in multiphase solids.
Keywords: Homogenization, Gamma-convergence, quasiconvexity-convexity, relaxation.
MSC: 49J45, 74Q05
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