Homogenization of functional with linear growth in the context of $\mathcal{A}$-quasiconvexity

José Matias, Marco Morandotti, Pedro M. Santos

Published 2014-10-02Version 1

This work deals with the homogenization of functionals with linear growth in the context of $\mathcal{A}$-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 $\mathcal{A}$-free condition plays a crucial role. This result extends some previous work to the linear case, thus allowing for concentration effects.