Archivio Istituzionale della RicercaThis work deals with the homogenization of functionals with linear growth in the context of 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 A-free condition plays a crucial role. This result extends some previous work to the linear case, thus allowing for concentration effects.
Homogenization of Functionals with Linear Growth in the Context of $$mathcal A$$ A -quasiconvexity / Matias, José; Morandotti, Marco; Santos, Pedro M.. - In: APPLIED MATHEMATICS AND OPTIMIZATION. - ISSN 0095-4616. - STAMPA. - 72:3(2015), pp. 523-547. [10.1007/s00245-015-9289-1]
Homogenization of Functionals with Linear Growth in the Context of $$mathcal A$$ A -quasiconvexity
Morandotti, Marco;
2015
Abstract
This work deals with the homogenization of functionals with linear growth in the context of 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 A-free condition plays a crucial role. This result extends some previous work to the linear case, thus allowing for concentration effects.
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[007]-2015-Mat-Mor-San[AMO].pdf
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Mat-Mor-San-revised.pdf
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https://hdl.handle.net/11583/2722527