Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge
We obtain an exact estimate for the second derivatives of solutions (in the weight Sobolev norm) of the Dirichlet problem for quasilinear second-order elliptic equations of nondivergence type in a neighborhood of an edge of a domain.
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4307 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510437507858432 |
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| author | Plesha, M. I. Плеша, М. І. |
| author_facet | Plesha, M. I. Плеша, М. І. |
| author_sort | Plesha, M. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:59Z |
| description | We obtain an exact estimate for the second derivatives of solutions (in the weight Sobolev norm) of the Dirichlet problem for quasilinear second-order elliptic equations of nondivergence type in a neighborhood of an edge of a domain. |
| first_indexed | 2026-03-24T02:56:59Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4307 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:56:59Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a0/90cf79460e67eb8f36d03c70b140bba0.pdf |
| spelling | umjimathkievua-article-43072020-03-18T20:25:59Z Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge Непокращувана інтегральна оцінка розв'язків задачі Діріхле для квазілінійних еліптичних рівнянь другого порядку в околі ребра Plesha, M. I. Плеша, М. І. We obtain an exact estimate for the second derivatives of solutions (in the weight Sobolev norm) of the Dirichlet problem for quasilinear second-order elliptic equations of nondivergence type in a neighborhood of an edge of a domain. Одержано точну оцінку других похідних розв'язків (у ваговій соболєвській нормі) задачі Діріхле для квазілінійних еліптичних недивергентних рівнянь другого порядку в околі ребра області. Institute of Mathematics, NAS of Ukraine 2001-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4307 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 6 (2001); 860-865 Український математичний журнал; Том 53 № 6 (2001); 860-865 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4307/5318 https://umj.imath.kiev.ua/index.php/umj/article/view/4307/5319 Copyright (c) 2001 Plesha M. I. |
| spellingShingle | Plesha, M. I. Плеша, М. І. Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge |
| title | Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge |
| title_alt | Непокращувана інтегральна оцінка розв'язків задачі Діріхле для квазілінійних еліптичних рівнянь другого порядку в околі ребра |
| title_full | Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge |
| title_fullStr | Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge |
| title_full_unstemmed | Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge |
| title_short | Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge |
| title_sort | unimprovable integral estimate for solutions of the dirichlet problem for quasilinear elliptic equations of the second order in a neighborhood of an edge |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4307 |
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