Published Paper
Inserted: 2 oct 2014
Last Updated: 7 feb 2017
Journal: Applied Mathematics and Optimization
Volume: 72
Number: 3
Pages: 523-547
Year: 2015
Doi: 10.1007/s00245-015-9289-1
Notes:
Preprint SISSA: 49-2014-MATE
Abstract:
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.
Keywords: Homogenization, $\mathcal{A}$-quasiconvexity, representation of integral functionals, concentration effects
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