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arxiv: 1503.06928 · v3 · pith:GX2PUU34new · submitted 2015-03-24 · 🧮 math.CA

Gamma-limits of functionals determined by their infima

classification 🧮 math.CA
keywords functionalsgammainfimaintegrallimitsapplicationscalculuscharacterize
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We study the integral representation of $\Gamma$-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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