On solvability of variational inequalities with discontinuous semimonotone operators
By using the method of monotone operators, a theorem on the existence of the solution with a special property is obtained for an elliptic variational inequality with discontinuous semimonotone operator; this theorem is then used to prove the existence of a semicorrect solution of a variational inequ...
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| Date: | 1993 |
|---|---|
| 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/5829 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865793081954009088 |
|---|---|
| author | Pavlenko, V. N. Павленко, В. Н. Павленко, В. Н. |
| author_facet | Pavlenko, V. N. Павленко, В. Н. Павленко, В. Н. |
| author_institution_txt_mv | [
{
"author": "В. Н. Павленко",
"institution": "Челябин. гос. ун-т, Россия"
}
] |
| author_sort | Pavlenko, V. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:35Z |
| description | By using the method of monotone operators, a theorem on the existence of the solution with a special property is obtained for an elliptic variational inequality with discontinuous semimonotone operator; this theorem is then used to prove the existence of a semicorrect solution of a variational inequality with a differential semilinear high-order operator of elliptic type with a nonsymmetric linear part and discontinuous nonlinearity. |
| first_indexed | 2026-03-24T03:22:37Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5829 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:37Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/08/14ce3157f82a324862fd4e2f221bec08.pdf |
| spelling | umjimathkievua-article-58292020-03-19T09:18:35Z On solvability of variational inequalities with discontinuous semimonotone operators О разрешимости вариационных неравенств с разрывными полумонотонными операторами Pavlenko, V. N. Павленко, В. Н. Павленко, В. Н. By using the method of monotone operators, a theorem on the existence of the solution with a special property is obtained for an elliptic variational inequality with discontinuous semimonotone operator; this theorem is then used to prove the existence of a semicorrect solution of a variational inequality with a differential semilinear high-order operator of elliptic type with a nonsymmetric linear part and discontinuous nonlinearity. Методом монотонних операторів одержана теорема існування розв'язку, що має спеціальну властивість для еліптичної варіаційної нерівності з розривним напівмонотонним оператором, яка потім застосовується для доведення існування напівправильного розв'язку, варіаційної нерівності з диференціальним напівлінійним оператором еліптичного типу високого порядку з несиметричною лінійною частиною і розривною нелінійністю. Institute of Mathematics, NAS of Ukraine 1993-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5829 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 3 (1993); 443–447 Український математичний журнал; Том 45 № 3 (1993); 443–447 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5829/8341 https://umj.imath.kiev.ua/index.php/umj/article/view/5829/8342 Copyright (c) 1993 Pavlenko V. N. |
| spellingShingle | Pavlenko, V. N. Павленко, В. Н. Павленко, В. Н. On solvability of variational inequalities with discontinuous semimonotone operators |
| title | On solvability of variational inequalities with discontinuous semimonotone operators |
| title_alt | О разрешимости вариационных неравенств с разрывными полумонотонными операторами |
| title_full | On solvability of variational inequalities with discontinuous semimonotone operators |
| title_fullStr | On solvability of variational inequalities with discontinuous semimonotone operators |
| title_full_unstemmed | On solvability of variational inequalities with discontinuous semimonotone operators |
| title_short | On solvability of variational inequalities with discontinuous semimonotone operators |
| title_sort | on solvability of variational inequalities with discontinuous semimonotone operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5829 |
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