Homogenization of Functionals with Linear Growth in the Context of $A$-quasiconvexity

This work deals with the homogenization of functionals with linear growth in the context of $A$-quasiconvexity. A representation theorem is proved, where the new integrand function is obtained by solving a cell problem where the coupling between homogenization and the $A$-free condition plays a crucial role. This result extends some previous work to the linear case, thus allowing for concentration effects.