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

• Published in: Труды Института прикладной математики и механики
• Date: 2009
• ISSN: 1683-4720
• Main Authors: Kovalevsky, A.A., Rudakova, O.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/123904
• 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.

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...