Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities
The existence of semiregular solutions is established for a certain class of variational inequalities with higher-order differential operators of elliptic type with a discontinuous nonlinearity. The proof is based on a general theorem on abstract variational inequalities with discontinuous operators...
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| Date: | 2025 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9362 |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513516101828608 |
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| author | Pavlenko , V. N. Павленко , В. Н. |
| author_facet | Pavlenko , V. N. Павленко , В. Н. |
| author_sort | Pavlenko , V. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-30T14:20:55Z |
| description | The existence of semiregular solutions is established for a certain class of variational inequalities with higher-order differential operators of elliptic type with a discontinuous nonlinearity. The proof is based on a general theorem on abstract variational inequalities with discontinuous operators, obtained by a variational method. |
| first_indexed | 2026-03-24T03:45:55Z |
| format | Article |
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| id | umjimathkievua-article-9362 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:55Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7a/06b876fc38b8beedc04f4622359e797a.pdf |
| spelling | umjimathkievua-article-93622025-06-30T14:20:55Z Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities Полуправнльные решения эллиптических вариационных неравенств с разрывными нелинейностями Pavlenko , V. N. Павленко , В. Н. - The existence of semiregular solutions is established for a certain class of variational inequalities with higher-order differential operators of elliptic type with a discontinuous nonlinearity. The proof is based on a general theorem on abstract variational inequalities with discontinuous operators, obtained by a variational method. Устанавливается существование полуправильных решений для одного класса вариационных неравенств с дифференциальными операторами высокого порядка эллиптического тина с разрывной нелинейностью. Доказательство основано на полученной вариационным методом общей теореме об абстрактных вариационных неравенствах с разрывными операторами. Установлюється існування напівправильних розв’язків для одного класу варіаційних нерівностей з диференціальними операторами високого порядку еліптичного типу з розривною нелінійністю. Доведення обгрунтоване здобутою варіаційним метолом загальною теоремою про абстрактні варіаційні нерівності з розривними операторами. Institute of Mathematics, NAS of Ukraine 2025-06-30 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9362 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 2 (1991); 230-235 Український математичний журнал; Том 43 № 2 (1991); 230-235 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9362/10512 Copyright (c) 1991 В. Н. Павленко |
| spellingShingle | Pavlenko , V. N. Павленко , В. Н. Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities |
| title | Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities |
| title_alt | Полуправнльные решения эллиптических вариационных неравенств с разрывными нелинейностями |
| title_full | Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities |
| title_fullStr | Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities |
| title_full_unstemmed | Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities |
| title_short | Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities |
| title_sort | half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9362 |
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