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This work deals with the homogenization of functionals with linear growth in the context of $$\mathcal A$$ 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 $$\mathcal A$$ A -free condition plays a crucial role. This result extends some previous work to the linear case, thus allowing for concentration effects.
Applied Mathematics & Optimization – Springer Journals
Published: Dec 1, 2015
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