γ-Convergence of integral functionals and the variational dirichlet problem in variable domains
By using special local characteristics of domains Ω s ⊂Ω,s=12,..., we establish necessary and sufficient conditions for the γ-convergence of sequences of integral functionalsI λs :W k,m (Ω s )→ℝ, λ⊂Ω to interal functionals defined on W k,m (Ω).
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5238 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511455826149376 |
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| author | Kovalevskii, A. A. Ковалевский, А. А. Ковалевский, А. А. |
| author_facet | Kovalevskii, A. A. Ковалевский, А. А. Ковалевский, А. А. |
| author_sort | Kovalevskii, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:28:19Z |
| description | By using special local characteristics of domains Ω s ⊂Ω,s=12,..., we establish necessary and sufficient conditions for the γ-convergence of sequences of integral functionalsI λs :W k,m (Ω s )→ℝ, λ⊂Ω to interal functionals defined on W k,m (Ω). |
| first_indexed | 2026-03-24T03:13:10Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5238 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:10Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/51/8f2a08b2bceb4f51ec4500314c6ba651.pdf |
| spelling | umjimathkievua-article-52382020-03-18T21:28:19Z γ-Convergence of integral functionals and the variational dirichlet problem in variable domains γ-сходимость интегральных функционалов и вариационная задача Дирихле в переменных областях Kovalevskii, A. A. Ковалевский, А. А. Ковалевский, А. А. By using special local characteristics of domains Ω s ⊂Ω,s=12,..., we establish necessary and sufficient conditions for the γ-convergence of sequences of integral functionalsI λs :W k,m (Ω s )→ℝ, λ⊂Ω to interal functionals defined on W k,m (Ω). За допомогою спеціальних локальних характерестик областей $Ω_s ⊂ Ω, \;s=1, 2,...,$ встановлюються необхідні та достатні умови $γ$-збіжності послідовностей інтегральних функціоналів $I_{λs}: W^{k,m} (Ω_s) → ℝ, λ ⊂ Ω$ до інтегральних функціоналів, визначених на $ W^{k,m} (Ω).$. Institute of Mathematics, NAS of Ukraine 1996-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5238 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 9 (1996); 1236–1254 Український математичний журнал; Том 48 № 9 (1996); 1236–1254 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5238/7170 https://umj.imath.kiev.ua/index.php/umj/article/view/5238/7171 Copyright (c) 1996 Kovalevskii A. A. |
| spellingShingle | Kovalevskii, A. A. Ковалевский, А. А. Ковалевский, А. А. γ-Convergence of integral functionals and the variational dirichlet problem in variable domains |
| title | γ-Convergence of integral functionals and the variational dirichlet problem in variable domains |
| title_alt | γ-сходимость интегральных функционалов и вариационная задача
Дирихле в переменных областях |
| title_full | γ-Convergence of integral functionals and the variational dirichlet problem in variable domains |
| title_fullStr | γ-Convergence of integral functionals and the variational dirichlet problem in variable domains |
| title_full_unstemmed | γ-Convergence of integral functionals and the variational dirichlet problem in variable domains |
| title_short | γ-Convergence of integral functionals and the variational dirichlet problem in variable domains |
| title_sort | γ-convergence of integral functionals and the variational dirichlet problem in variable domains |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5238 |
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