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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Veröffentlicht in:Труды Института прикладной математики и механики
Datum:2009
Hauptverfasser: Kovalevsky, A.A., Rudakova, O.A.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2009
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/123904
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Zitieren: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
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author Kovalevsky, A.A.
Rudakova, O.A.
author_facet Kovalevsky, A.A.
Rudakova, O.A.
citation_txt 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.
collection DSpace DC
container_title Труды Института прикладной математики и механики
description 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 the ¡-limit functional is given.
first_indexed 2025-12-07T16:26:58Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1683-4720
language English
last_indexed 2025-12-07T16:26:58Z
publishDate 2009
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Kovalevsky, A.A.
Rudakova, O.A.
2017-09-13T09:33:48Z
2017-09-13T09:33:48Z
2009
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.
1683-4720
https://nasplib.isofts.kiev.ua/handle/123456789/123904
517.9
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 the ¡-limit functional is given.
en
Інститут прикладної математики і механіки НАН України
Труды Института прикладной математики и механики
Г-convergence of integral functionals with degenerate integrands in periodically perforated domains
Article
published earlier
spellingShingle Г-convergence of integral functionals with degenerate integrands in periodically perforated domains
Kovalevsky, A.A.
Rudakova, O.A.
title Г-convergence of integral functionals with degenerate integrands in periodically perforated domains
title_full Г-convergence of integral functionals with degenerate integrands in periodically perforated domains
title_fullStr Г-convergence of integral functionals with degenerate integrands in periodically perforated domains
title_full_unstemmed Г-convergence of integral functionals with degenerate integrands in periodically perforated domains
title_short Г-convergence of integral functionals with degenerate integrands in periodically perforated domains
title_sort г-convergence of integral functionals with degenerate integrands in periodically perforated domains
url https://nasplib.isofts.kiev.ua/handle/123456789/123904
work_keys_str_mv AT kovalevskyaa gconvergenceofintegralfunctionalswithdegenerateintegrandsinperiodicallyperforateddomains
AT rudakovaoa gconvergenceofintegralfunctionalswithdegenerateintegrandsinperiodicallyperforateddomains