Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition
UDC 517.9 We prove the existence of at least three weak solutions for a class of $p(x)$-Laplacian-like problems with Neumann boundary conditions by using a critical theorem of Bonanno and Marano [Appl. Anal., 89, 1–10 (2010)].
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| Date: | 2024 |
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| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7575 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512686130855936 |
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| author | Kefi, K. Kefi, K. |
| author_facet | Kefi, K. Kefi, K. |
| author_sort | Kefi, K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-09-25T06:57:26Z |
| description | UDC 517.9
We prove the existence of at least three weak solutions for a class of $p(x)$-Laplacian-like problems with Neumann boundary conditions by using a critical theorem of Bonanno and Marano [Appl. Anal., 89, 1–10 (2010)]. |
| doi_str_mv | 10.3842/umzh.v76i8.7575 |
| first_indexed | 2026-03-24T03:32:44Z |
| format | Article |
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| id | umjimathkievua-article-7575 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:44Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-75752024-09-25T06:57:26Z Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition Kefi, K. Kefi, K. $p(x)$-Laplacian like problem, critical theorem, generalized Sobolev space, variable exponent UDC 517.9 We prove the existence of at least three weak solutions for a class of $p(x)$-Laplacian-like problems with Neumann boundary conditions by using a critical theorem of Bonanno and Marano [Appl. Anal., 89, 1–10 (2010)]. УДК 517.9 Неєдині розв’язки задачі  $p(x)$-лапласового типу, що задовольняють граничну умову Неймана  Доведено існування щонайменше трьох слабких розв’язків для класу задач $p(x)$-лапласового типу із граничними умовами Неймана за допомогою критичної теореми Бонанно і Марано [Appl. Anal., 89, 1–10 (2010)]. Institute of Mathematics, NAS of Ukraine 2024-09-04 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7575 10.3842/umzh.v76i8.7575 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 8 (2024); 1158 - 1167 Український математичний журнал; Том 76 № 8 (2024); 1158 - 1167 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7575/10152 Copyright (c) 2024 Khaled Kefi |
| spellingShingle | Kefi, K. Kefi, K. Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition |
| title | Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition |
| title_alt | Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition |
| title_full | Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition |
| title_fullStr | Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition |
| title_full_unstemmed | Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition |
| title_short | Multiple solutions for a $p(x)$-Laplacian-like problem under Neumann boundary condition |
| title_sort | multiple solutions for a $p(x)$-laplacian-like problem under neumann boundary condition |
| topic_facet | $p(x)$-Laplacian like problem critical theorem generalized Sobolev space variable exponent |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7575 |
| work_keys_str_mv | AT kefik multiplesolutionsforapxlaplacianlikeproblemunderneumannboundarycondition AT kefik multiplesolutionsforapxlaplacianlikeproblemunderneumannboundarycondition |