Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity
We derive a pointwise estimate of the solution to Dirichlet’s problem for a quasilinear second–order elliptic equation in a domain whose bounded compliment is contained in a small neighborhood of a set $\{x\in R^n: |x|\leq ½,x_1=\dots=x_s=0\}$.
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| Date: | 1992 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8241 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512998451314688 |
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| author | Skrypnik, I. V. Naumova, M. A. Скрыпник, И. В. Наумова, М. А. |
| author_facet | Skrypnik, I. V. Naumova, M. A. Скрыпник, И. В. Наумова, М. А. |
| author_sort | Skrypnik, I. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:23Z |
| description | We derive a pointwise estimate of the solution to Dirichlet’s problem for a quasilinear second–order elliptic equation in a domain whose bounded compliment is contained in a small neighborhood of a set $\{x\in R^n: |x|\leq ½,x_1=\dots=x_s=0\}$. |
| first_indexed | 2026-03-24T03:37:41Z |
| format | Article |
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| id | umjimathkievua-article-8241 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:41Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f8/b5a81af170c2d7f7f96b1096f7b9b8f8.pdf |
| spelling | umjimathkievua-article-82412024-03-27T09:55:23Z Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity Поточечная оценка решения квазилинейной эллиптической задачи в области с тонкой полостью Skrypnik, I. V. Naumova, M. A. Скрыпник, И. В. Наумова, М. А. We derive a pointwise estimate of the solution to Dirichlet’s problem for a quasilinear second–order elliptic equation in a domain whose bounded compliment is contained in a small neighborhood of a set $\{x\in R^n: |x|\leq ½,x_1=\dots=x_s=0\}$. Установлена поточечная оценка решения задачи Дирихле для квазилинейного эллиптического уравнения второго порядка в области, ограниченная компонента дополнения к которой содержится в малой окрестности множества $\{x\in R^n: |x|\leq ½,x_1=\dots=x_s=0\}$. Встановлена поточкова оцінка розв’язку задачі Діріхле для квазілінійного еліптичного рівняння другого порядку в області, обмежена компонента доповнення до якої міститься у малому околі множини $\{x\in R^n: |x|\leq ½,x_1=\dots=x_s=0\}$. Institute of Mathematics, NAS of Ukraine 1992-10-01 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8241 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 10 (1992); 1417-1432 Український математичний журнал; Том 44 № 10 (1992); 1417-1432 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8241/9821 Copyright (c) 1992 I. V. Skrypnik, M. A. Naumova |
| spellingShingle | Skrypnik, I. V. Naumova, M. A. Скрыпник, И. В. Наумова, М. А. Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity |
| title | Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity |
| title_alt | Поточечная оценка решения квазилинейной эллиптической задачи в области с тонкой полостью |
| title_full | Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity |
| title_fullStr | Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity |
| title_full_unstemmed | Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity |
| title_short | Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity |
| title_sort | pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8241 |
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