Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations
We obtain new variational principles of the existence of strong and semiregular solutions of principal boundary-value problems for elliptic-type second-order equations with discontinuous nonlinearity. We study a problem of proximity between the sets of solutions of an approximating problem with nonl...
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| Datum: | 1999 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4601 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510750112481280 |
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| author | Iskakov, R. S. Pavlenko, V. N. Искаков, Р. С. Павленко, В. Н. Искаков, Р. С. Павленко, В. Н. |
| author_facet | Iskakov, R. S. Pavlenko, V. N. Искаков, Р. С. Павленко, В. Н. Искаков, Р. С. Павленко, В. Н. |
| author_sort | Iskakov, R. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:09:38Z |
| description | We obtain new variational principles of the existence of strong and semiregular solutions of principal boundary-value problems for elliptic-type second-order equations with discontinuous nonlinearity. We study a problem of proximity between the sets of solutions of an approximating problem with nonlinearity continuous in phase variable and solutions of the initial boundary-value problem with discontinuous nonlinearity. |
| first_indexed | 2026-03-24T03:01:57Z |
| format | Article |
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| id | umjimathkievua-article-4601 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:01:57Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/99/5d1e798a4a32dd8dd5d040fbc4dda899.pdf |
| spelling | umjimathkievua-article-46012020-03-18T21:09:38Z Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations Непрерывные аппроксимации разрывных нелинейностей полулинейных уравнений эллиптического типа Iskakov, R. S. Pavlenko, V. N. Искаков, Р. С. Павленко, В. Н. Искаков, Р. С. Павленко, В. Н. We obtain new variational principles of the existence of strong and semiregular solutions of principal boundary-value problems for elliptic-type second-order equations with discontinuous nonlinearity. We study a problem of proximity between the sets of solutions of an approximating problem with nonlinearity continuous in phase variable and solutions of the initial boundary-value problem with discontinuous nonlinearity. Одержані нові варіаційні принципи існування сильних і напівправильних розв'язків основних крайових задач для рівнянь еліптичного типу другого порядку з розривною нелінійніспо, Вивчається проблема близькості множин розв'язків апроксимуючої задачі з неперервною за фазовою змінною нелінійністю і розв'язків вихідної крайової задачі з розривною нелінійніспо. Institute of Mathematics, NAS of Ukraine 1999-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4601 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 2 (1999); 224–233 Український математичний журнал; Том 51 № 2 (1999); 224–233 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4601/5906 https://umj.imath.kiev.ua/index.php/umj/article/view/4601/5907 Copyright (c) 1999 Iskakov R. S.; Pavlenko V. N. |
| spellingShingle | Iskakov, R. S. Pavlenko, V. N. Искаков, Р. С. Павленко, В. Н. Искаков, Р. С. Павленко, В. Н. Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations |
| title | Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations |
| title_alt | Непрерывные аппроксимации разрывных нелинейностей
полулинейных уравнений эллиптического типа |
| title_full | Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations |
| title_fullStr | Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations |
| title_full_unstemmed | Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations |
| title_short | Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations |
| title_sort | continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4601 |
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