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Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands

Tachago Joel Fotso, Nnang Hubert, Zappale Elvira

Opuscula Mathematica

2021

Vol. 41, no. 1

113--143

Multiscale periodic homogenization is extended to an Orlicz-Sobolev setting. It is shown by the reiteraded periodic two-scale convergence method that the sequence of minimizers of a class of highly oscillatory minimizations problems involving convex functionals, converges to the minimizers of a homogenized problem with a suitable convex function.