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

2023/12/26 by Tchinda, Franck Arnold, Tachago, Joel Fotso, Dongho, Joseph
#35B27 #46E30 #49J35 #58A10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.15978

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.

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