Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands
Optimization and Control
2020-02-25 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1901.07217,
title = {Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands},
author = {Joel Fotso Tachago and Hubert Nnang and Elvira Zappale},
journal= {arXiv preprint arXiv:1901.07217},
year = {2020}
}