Homogenization of Functionals with Linear Growth in the Context of \(\mathcal A\)-quasiconvexity
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- Matias, J., Morandotti, M. & Santos, P.M. Appl Math Optim (2015) 72: 523. doi:10.1007/s00245-015-9289-1
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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.