Solvability of nonlinear elliptic systems with measure
We prove the solvability of nonlinear elliptic systems in spaces dual to the Morrey spaces. As a main consequence, we establish that, under certain restrictions on the modulus of ellipticity of a system, systems with measure are solvable.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5265 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511480522211328 |
|---|---|
| author | Kalita, E. A. Калита, Е. А. Калита, Е. А. |
| author_facet | Kalita, E. A. Калита, Е. А. Калита, Е. А. |
| author_sort | Kalita, E. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:03Z |
| description | We prove the solvability of nonlinear elliptic systems in spaces dual to the Morrey spaces. As a main consequence, we establish that, under certain restrictions on the modulus of ellipticity of a system, systems with measure are solvable. |
| first_indexed | 2026-03-24T03:13:34Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5265 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:34Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d1/f7175769e56b68d43d4060d64064dbd1.pdf |
| spelling | umjimathkievua-article-52652020-03-18T21:29:03Z Solvability of nonlinear elliptic systems with measure Разрешимость нелинейных эллиптических систем с мерой Kalita, E. A. Калита, Е. А. Калита, Е. А. We prove the solvability of nonlinear elliptic systems in spaces dual to the Morrey spaces. As a main consequence, we establish that, under certain restrictions on the modulus of ellipticity of a system, systems with measure are solvable. Для нелінійних еліптичних систем встановлена розв • лзність у просторах, дуальних до просторів Моррі. Як основний наслідок, одержана розв'язність систем з мірою при певних обмеженнях на модуль еліптичності системи. Institute of Mathematics, NAS of Ukraine 1996-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5265 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 7 (1996); 925-939 Український математичний журнал; Том 48 № 7 (1996); 925-939 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5265/7222 https://umj.imath.kiev.ua/index.php/umj/article/view/5265/7223 Copyright (c) 1996 Kalita E. A. |
| spellingShingle | Kalita, E. A. Калита, Е. А. Калита, Е. А. Solvability of nonlinear elliptic systems with measure |
| title | Solvability of nonlinear elliptic systems with measure |
| title_alt | Разрешимость нелинейных эллиптических систем с мерой |
| title_full | Solvability of nonlinear elliptic systems with measure |
| title_fullStr | Solvability of nonlinear elliptic systems with measure |
| title_full_unstemmed | Solvability of nonlinear elliptic systems with measure |
| title_short | Solvability of nonlinear elliptic systems with measure |
| title_sort | solvability of nonlinear elliptic systems with measure |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5265 |
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