Affiliations: L.P.M.T.M., Université Paris Nord, 93430, Villetaneuse, France E-mail: [email protected] | Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001, Lisboa, Portugal E-mail: [email protected]
Note: [] Corresponding author.
Abstract: Γ-convergence techniques are used to give a characterization of the behavior of a family of heterogeneous multiple scale integral functionals. Periodicity, standard growth conditions and nonconvexity are assumed whereas a stronger uniform continuity hypothesis with respect to the macroscopic variable, normally required in the existing literature, is avoided. An application to dimension reduction problems in reiterated homogenization of thin films is presented.
Keywords: integral functionals, periodicity, homogenization, Γ-convergence, quasiconvexity, equi-integrability, dimension reduction, thin films
