On nonlinear higher order elliptic systems positive in the first derivatives
Elliptic systems of a divergent type with a natural energy space $W^m_p \bigcap W^l_q$ are considered. Under certain restrictions imposed on the modulus of ellipticity of the lower part of the system, the Hölder property of the generalized solutions to this system and the Liouville theorem are estab...
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| Date: | 1993 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5887 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865793144965038080 |
|---|---|
| author | Kalita, E. A. Калита, Е. А. Калита, Е. А. |
| author_facet | Kalita, E. A. Калита, Е. А. Калита, Е. А. |
| author_institution_txt_mv | [
{
"author": "Е. А. Калита",
"institution": null
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| author_sort | Kalita, E. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:04Z |
| description | Elliptic systems of a divergent type with a natural energy space $W^m_p \bigcap W^l_q$ are considered. Under certain restrictions imposed on the modulus of ellipticity of the lower part of the system, the Hölder property of the generalized solutions to this system and the Liouville theorem are established. |
| first_indexed | 2026-03-24T03:23:31Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5887 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:31Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/35/41ca71780702a4ba9623357588ab6735.pdf |
| spelling | umjimathkievua-article-58872020-03-19T09:20:04Z On nonlinear higher order elliptic systems positive in the first derivatives О нелинейных эллиптических системах высокого порядка, положительных по первым производным Kalita, E. A. Калита, Е. А. Калита, Е. А. Elliptic systems of a divergent type with a natural energy space $W^m_p \bigcap W^l_q$ are considered. Under certain restrictions imposed on the modulus of ellipticity of the lower part of the system, the Hölder property of the generalized solutions to this system and the Liouville theorem are established. Розглядаються еліптичні системи дивергентного вигляду з природним енергетичним простором $W^m_p \bigcap W^l_q$/ При певних обмеженнях на модуль еліптичності молодшої частини системи встановлюється гельдеровість узагальнених розв'язків і теорема Ліувілля. Institute of Mathematics, NAS of Ukraine 1993-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5887 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 7 (1993); 942–947 Український математичний журнал; Том 45 № 7 (1993); 942–947 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5887/8457 https://umj.imath.kiev.ua/index.php/umj/article/view/5887/8458 Copyright (c) 1993 Kalita E. A. |
| spellingShingle | Kalita, E. A. Калита, Е. А. Калита, Е. А. On nonlinear higher order elliptic systems positive in the first derivatives |
| title | On nonlinear higher order elliptic systems positive in the first derivatives |
| title_alt | О нелинейных эллиптических системах высокого порядка, положительных по первым производным |
| title_full | On nonlinear higher order elliptic systems positive in the first derivatives |
| title_fullStr | On nonlinear higher order elliptic systems positive in the first derivatives |
| title_full_unstemmed | On nonlinear higher order elliptic systems positive in the first derivatives |
| title_short | On nonlinear higher order elliptic systems positive in the first derivatives |
| title_sort | on nonlinear higher order elliptic systems positive in the first derivatives |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5887 |
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