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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Homogenization of periodic multi-dimensional structures
Nadia Ansini, Andrea Braides and Valeria Chiadò PiatAbstract
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
- Received:
- 03.07.98
- Published:
- 03.07.98
- MSC Codes:
- 35B27, 73B27, 49J45