Homogenization of non-convex integral energies with Orlicz growth via periodic unfolding

TL;DR

This paper extends the periodic unfolding method to Orlicz spaces to establish homogenization results for non-convex integral energies in vector-valued Orlicz-Sobolev spaces.

Contribution

It introduces a novel extension of the periodic unfolding technique to the Orlicz setting for homogenization of non-convex energies.

Findings

Successful extension of periodic unfolding to Orlicz spaces

Homogenization results for non-convex energies in Orlicz-Sobolev spaces

Framework applicable to vector-valued configurations

Abstract

The periodic unfolding method is extended to the Orlicz setting and used to prove a homogenization result for non-convex integral energies defined on vector-valued configurations in the Orlicz-Sobolev setting.