Г-convergence of integral functionals with degenerate integrands in periodically perforated domains

We consider a sequence of integral functionals with degenerate integrands in perforated domains of periodic structure. We establish the ¡-convergence of the sequence under consideration to an integral functional defined on a limit weighted Sobolev space. A representation formula for the integrand of...

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Bibliographic Details
Date:2009
Main Authors: Kovalevsky, A.A., Rudakova, O.A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2009
Series:Труды Института прикладной математики и механики
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/123904
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Г-convergence of integral functionals with degenerate integrands in periodically perforated domains / A.A. Kovalevsky, O.A. Rudakova // Труды Института прикладной математики и механики НАН Украины. — Донецьк: ІПММ НАН України, 2009. — Т. 19. — С. 101-109. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine