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

Authors :
Matias, José
Morandotti, Marco
Santos, Pedro M.
Publication Year :
2014

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.<br />Comment: 16 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1410.0490
Document Type :
Working Paper