Morrey Regularity of Solutions of Nonlinear Elliptic Systems of Arbitrary Order with Restrictions on the Modulus of Ellipticity
We investigate the dependence of the regularity of generalized solutions of nonlinear elliptic systems on the modulus of ellipticity and regularity of the right-hand side. We establish Morrey regularity with limit exponent determined by the modulus of ellipticity in the case where the right-hand sid...
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| Дата: | 2002 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2002
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4184 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510311817150464 |
|---|---|
| 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 | 2020-03-18T20:23:57Z |
| description | We investigate the dependence of the regularity of generalized solutions of nonlinear elliptic systems on the modulus of ellipticity and regularity of the right-hand side. We establish Morrey regularity with limit exponent determined by the modulus of ellipticity in the case where the right-hand side belongs to a space with a norm stronger than the Dini function. These conditions are exact for second-order systems, namely, for any violation of the Dini condition, we construct a solution that does not belong to the Morrey space with limit exponent. |
| first_indexed | 2026-03-24T02:54:59Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-4184 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:54:59Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-41842020-03-18T20:23:57Z Morrey Regularity of Solutions of Nonlinear Elliptic Systems of Arbitrary Order with Restrictions on the Modulus of Ellipticity Регулярность по Морри решений нелинейных эллиптических систем произвольного порядка при ограничениях на модуль эллиптичности Kalita, E. A. Калита, Е. А. Калита, Е. А. We investigate the dependence of the regularity of generalized solutions of nonlinear elliptic systems on the modulus of ellipticity and regularity of the right-hand side. We establish Morrey regularity with limit exponent determined by the modulus of ellipticity in the case where the right-hand side belongs to a space with a norm stronger than the Dini function. These conditions are exact for second-order systems, namely, for any violation of the Dini condition, we construct a solution that does not belong to the Morrey space with limit exponent. We investigate the dependence of the regularity of generalized solutions of nonlinear elliptic systems on the modulus of ellipticity and regularity of the right-hand side. We establish Morrey regularity with limit exponent determined by the modulus of ellipticity in the case where the right-hand side belongs to a space with a norm stronger than the Dini function. These conditions are exact for second-order systems, namely, for any violation of the Dini condition, we construct a solution that does not belong to the Morrey space with limit exponent. Institute of Mathematics, NAS of Ukraine 2002-11-25 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/4184 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 11 (2002); 1452-1466 Український математичний журнал; Том 54 № 11 (2002); 1452-1466 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/4184/5076 Copyright (c) 2002 Kalita E. A. |
| spellingShingle | Kalita, E. A. Калита, Е. А. Калита, Е. А. Morrey Regularity of Solutions of Nonlinear Elliptic Systems of Arbitrary Order with Restrictions on the Modulus of Ellipticity |
| title | Morrey Regularity of Solutions of Nonlinear Elliptic Systems of Arbitrary Order with Restrictions on the Modulus of Ellipticity |
| title_alt | Регулярность по Морри решений нелинейных эллиптических систем
произвольного порядка при ограничениях на модуль эллиптичности |
| title_full | Morrey Regularity of Solutions of Nonlinear Elliptic Systems of Arbitrary Order with Restrictions on the Modulus of Ellipticity |
| title_fullStr | Morrey Regularity of Solutions of Nonlinear Elliptic Systems of Arbitrary Order with Restrictions on the Modulus of Ellipticity |
| title_full_unstemmed | Morrey Regularity of Solutions of Nonlinear Elliptic Systems of Arbitrary Order with Restrictions on the Modulus of Ellipticity |
| title_short | Morrey Regularity of Solutions of Nonlinear Elliptic Systems of Arbitrary Order with Restrictions on the Modulus of Ellipticity |
| title_sort | morrey regularity of solutions of nonlinear elliptic systems of arbitrary order with restrictions on the modulus of ellipticity |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4184 |
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