Two-scale convergence on forms in Riemannian manifolds and homogenization of an integral functional on Orlicz-Sobolev's spaces (2312.15978v1)

Abstract: We extend the concept of two-scale convergence on forms in Orlicz-Sobolev's spaces and we describe the homogenization for a family of integral functionals with convex and nonstandard growth integrands defined on the tangent bundle of a Remannian manifold.