Homogenization of periodic multi-dimensional structures
Nadia Ansini, Andrea Braides, and Valeria Chiadò Piat
Contact the author: Please use for correspondence this email.
Submission date: 03. Jul. 1998
published in: Bollettino della Unione Matematica Italiana / B, 2 (1999) 3, p. 735-758
MSC-Numbers: 35B27, 73B27, 49J45
Download full preprint: PDF (396 kB), PS ziped (191 kB)
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.