Existence of solutions for a class of kirchhoff-type problem with triple regime logarithmic nonlinearity
In this paper, we use variational methods to study the existence of nontrivial solutions for a class of Kirchhoff-type elliptic problems driven by the p(x)-Laplacian with triple regime and sign-changing nonlinearity. The main novelty of this paper is our ability to establish an existence result...
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| Format: | Article |
| Language: | English |
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Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila
2024-01-01
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| Series: | Journal of Innovative Applied Mathematics and Computational Sciences |
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| Online Access: | https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/61 |
| _version_ | 1797350929409769472 |
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| author | Tahir Boudjeriou |
| author_facet | Tahir Boudjeriou |
| author_sort | Tahir Boudjeriou |
| collection | DOAJ |
| description |
In this paper, we use variational methods to study the existence of nontrivial solutions for a class of Kirchhoff-type elliptic problems driven by the p(x)-Laplacian with triple regime and sign-changing nonlinearity.
The main novelty of this paper is our ability to establish an existence result for a class of Kirchhoff-type problems in which the reaction term is sign-changing and exhibits a triple regime (subcritical, critical, and supercritical).
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| first_indexed | 2024-03-08T12:53:13Z |
| format | Article |
| id | doaj.art-3f146fbcbf3144efbf13529565d3537f |
| institution | Directory Open Access Journal |
| issn | 2773-4196 |
| language | English |
| last_indexed | 2024-03-08T12:53:13Z |
| publishDate | 2024-01-01 |
| publisher | Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila |
| record_format | Article |
| series | Journal of Innovative Applied Mathematics and Computational Sciences |
| spelling | doaj.art-3f146fbcbf3144efbf13529565d3537f2024-01-19T21:49:17ZengInstitute of Sciences and Technology, University Center Abdelhafid Boussouf, MilaJournal of Innovative Applied Mathematics and Computational Sciences2773-41962024-01-013210.58205/jiamcs.v3i2.61Existence of solutions for a class of kirchhoff-type problem with triple regime logarithmic nonlinearityTahir Boudjeriou0Department of Basic Teaching Institute of Electrical & Electronic Engineering University of boumerdes In this paper, we use variational methods to study the existence of nontrivial solutions for a class of Kirchhoff-type elliptic problems driven by the p(x)-Laplacian with triple regime and sign-changing nonlinearity. The main novelty of this paper is our ability to establish an existence result for a class of Kirchhoff-type problems in which the reaction term is sign-changing and exhibits a triple regime (subcritical, critical, and supercritical). https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/61Variational methodsp(x)-Kirchhoff-type equationNonlocal problems |
| spellingShingle | Tahir Boudjeriou Existence of solutions for a class of kirchhoff-type problem with triple regime logarithmic nonlinearity Journal of Innovative Applied Mathematics and Computational Sciences Variational methods p(x)-Kirchhoff-type equation Nonlocal problems |
| title | Existence of solutions for a class of kirchhoff-type problem with triple regime logarithmic nonlinearity |
| title_full | Existence of solutions for a class of kirchhoff-type problem with triple regime logarithmic nonlinearity |
| title_fullStr | Existence of solutions for a class of kirchhoff-type problem with triple regime logarithmic nonlinearity |
| title_full_unstemmed | Existence of solutions for a class of kirchhoff-type problem with triple regime logarithmic nonlinearity |
| title_short | Existence of solutions for a class of kirchhoff-type problem with triple regime logarithmic nonlinearity |
| title_sort | existence of solutions for a class of kirchhoff type problem with triple regime logarithmic nonlinearity |
| topic | Variational methods p(x)-Kirchhoff-type equation Nonlocal problems |
| url | https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/61 |
| work_keys_str_mv | AT tahirboudjeriou existenceofsolutionsforaclassofkirchhofftypeproblemwithtripleregimelogarithmicnonlinearity |