Partial regularity of traces of solutions of higher-order nonlinear elliptic systems
For traces of generalized solutions of elliptic systems on smooth manifolds, we study the dependence of the Hausdorff dimension of the set of points at which a solution is not smooth on the modulus of ellipticity of a system.
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| Date: | 1993 |
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| 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/5956 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512181612707840 |
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| 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 | 2020-03-19T09:21:58Z |
| description | For traces of generalized solutions of elliptic systems on smooth manifolds, we study the dependence of the Hausdorff dimension of the set of points at which a solution is not smooth on the modulus of ellipticity of a system. |
| first_indexed | 2026-03-24T03:24:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5956 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:42Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/58/455db420d7624c6a27548d92edf3fa58.pdf |
| spelling | umjimathkievua-article-59562020-03-19T09:21:58Z Partial regularity of traces of solutions of higher-order nonlinear elliptic systems Частичная регулярность следов решений нелинейных эллиптических систем высокого порядка Kalita, E. A. Калита, Е. А. Калита, Е. А. For traces of generalized solutions of elliptic systems on smooth manifolds, we study the dependence of the Hausdorff dimension of the set of points at which a solution is not smooth on the modulus of ellipticity of a system. Для слідів на гладких многовидах узагальнених розв’язків еліптичних систем досліджена залежність хаусдорфової розмірності множини точок, у яких розв’язок негладкий, від модуля еліптичності системи. Institute of Mathematics, NAS of Ukraine 1993-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5956 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 11 (1993); 1495–1502 Український математичний журнал; Том 45 № 11 (1993); 1495–1502 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5956/8595 https://umj.imath.kiev.ua/index.php/umj/article/view/5956/8596 Copyright (c) 1993 Kalita E. A. |
| spellingShingle | Kalita, E. A. Калита, Е. А. Калита, Е. А. Partial regularity of traces of solutions of higher-order nonlinear elliptic systems |
| title | Partial regularity of traces of solutions of higher-order nonlinear elliptic systems |
| title_alt | Частичная регулярность следов решений нелинейных эллиптических систем высокого порядка |
| title_full | Partial regularity of traces of solutions of higher-order nonlinear elliptic systems |
| title_fullStr | Partial regularity of traces of solutions of higher-order nonlinear elliptic systems |
| title_full_unstemmed | Partial regularity of traces of solutions of higher-order nonlinear elliptic systems |
| title_short | Partial regularity of traces of solutions of higher-order nonlinear elliptic systems |
| title_sort | partial regularity of traces of solutions of higher-order nonlinear elliptic systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5956 |
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