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arXiv · 1503.06928

$Γ$-limits of functionals determined by their infima

Omar Anza Hafsa·Jean-Philippe Mandallena
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Abstract

We study the integral representation of $Γ$-limits of $p$-coercive integral functionals of the calculus of variations in the spirit of \cite{dalmaso-modica86}. We use infima of local Dirichlet problems to characterize the limit integrands. Applications to homogenization and relaxation are given.

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Omar Anza Hafsa, Jean-Philippe Mandallena. 2015-12-23. $Γ$-limits of functionals determined by their infima. https://arxiv.org/abs/1503.06928

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