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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| Published in: | Труды Института прикладной математики и механики |
|---|---|
| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.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| id |
nasplib_isofts_kiev_ua-123456789-123904 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Г-convergence of integral functionals with degenerate integrands in periodically perforated domains |
| spellingShingle |
Г-convergence of integral functionals with degenerate integrands in periodically perforated domains Kovalevsky, A.A. Rudakova, O.A. |
| title_short |
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_sort |
г-convergence of integral functionals with degenerate integrands in periodically perforated domains |
| author |
Kovalevsky, A.A. Rudakova, O.A. |
| author_facet |
Kovalevsky, A.A. Rudakova, O.A. |
| publishDate |
2009 |
| language |
English |
| container_title |
Труды Института прикладной математики и механики |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1683-4720 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/123904 |
| 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. |
| work_keys_str_mv |
AT kovalevskyaa gconvergenceofintegralfunctionalswithdegenerateintegrandsinperiodicallyperforateddomains AT rudakovaoa gconvergenceofintegralfunctionalswithdegenerateintegrandsinperiodicallyperforateddomains |
| first_indexed |
2025-12-07T16:26:58Z |
| last_indexed |
2025-12-07T16:26:58Z |
| _version_ |
1850867521366786048 |