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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| Опубліковано в: : | Труды Института прикладной математики и механики |
|---|---|
| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/123904 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862696434442174464 |
|---|---|
| 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.
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| first_indexed | 2025-12-07T16:26:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-123904 |
| 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 |