A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains

Elvira Zappale

doi:10.3934/eect.2017016

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2017, Volume 6, Issue 2: 299-318. Doi: 10.3934/eect.2017016

This issue Previous Article Periodic solutions for time-dependent subdifferential evolution inclusions Next Article

A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains

Elvira Zappale

Dipartimento di Ingegneria Industriale, Università degli Studi di Salerno, via Giovanni Paolo Ⅱ, 132,84084 Fisciano (SA), Italy

Received: November 30, 2016

Revised: December 31, 2016

Published: May 2017

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Abstract

A 3D-2D dimension reduction for a nonhomogeneous constrained energy is performed in the realm of $Γ$-convergence, and two-scale convergence for slender domains, providing an integral representation for the limit functional. Applications to supremal functionals are also given.

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Mathematics Subject Classification: Primary: 49J45; Secondary: 35B27, 74Q05.

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