Homogenization of functional with linear growth in the context of $\mathcal{A}$-quasiconvexity
Analysis of PDEs
2014-10-03 v1
Abstract
This work deals with the homogenization of functionals with linear growth in the context of -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 -free condition plays a crucial role. This result extends some previous work to the linear case, thus allowing for concentration effects.
Keywords
Cite
@article{arxiv.1410.0490,
title = {Homogenization of functional with linear growth in the context of $\mathcal{A}$-quasiconvexity},
author = {José Matias and Marco Morandotti and Pedro M. Santos},
journal= {arXiv preprint arXiv:1410.0490},
year = {2014}
}
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16 pages