Preprint 21/1998

Homogenization of periodic multi-dimensional structures

Nadia Ansini, Andrea Braides, and Valeria Chiadò Piat

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Submission date: 03. Jul. 1998
Pages: 24
published in: Bollettino della Unione Matematica Italiana / B, 2 (1999) 3, p. 735-758 
MSC-Numbers: 35B27, 73B27, 49J45
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We study the asymptotic behaviour of a class of oscillating integral functionals, which may depend on measures concentrated on periodic low-dimensional or multi-dimensional structures. We set the problem in the framework of Sobolev spaces with respect to periodic measures, and show that, under proper assumptions, a limit functional defined on the usual Sobolev space can be obtained using the techniques of -convergence, whose energy density is described by an appropriate formula.

18.10.2019, 02:10