A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions
Abstract In this paper, we study the existence of positive solutions for a nonlocal singular elliptic coupled system involving N-Laplace operator. The source term of the system is expressed as the sum of two components: one with subcritical, critical, or supercritical exponential growth controlled b...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-025-02006-w |
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| author | Rafik Guefaifia Chahinez Bellamouchi Salah Boulaaras Rashid Jan |
| author_facet | Rafik Guefaifia Chahinez Bellamouchi Salah Boulaaras Rashid Jan |
| author_sort | Rafik Guefaifia |
| collection | DOAJ |
| description | Abstract In this paper, we study the existence of positive solutions for a nonlocal singular elliptic coupled system involving N-Laplace operator. The source term of the system is expressed as the sum of two components: one with subcritical, critical, or supercritical exponential growth controlled by the Trudinger–Moser inequality, and the other being singular at the origin. We also investigate the asymptotic behavior of the solutions with respect to the parameters. Furthermore, we prove that no solutions exist for our system in dimension N = 2 $N=2$ . |
| format | Article |
| id | doaj-art-e908ff565bf6436c8b407c3034425c33 |
| institution | DOAJ |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-e908ff565bf6436c8b407c3034425c332025-08-20T02:59:35ZengSpringerOpenBoundary Value Problems1687-27702025-02-012025112110.1186/s13661-025-02006-wA nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutionsRafik Guefaifia0Chahinez Bellamouchi1Salah Boulaaras2Rashid Jan3Department of Mathematics, College of Science, Qassim UniversityLabo. Oper. Theo. and Part. Diff. Eq.: Foundations and Applications, University of El OuedDepartment of Mathematics, College of Science, Qassim UniversityInstitute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, University Tenaga Nasional (UNITEN)Abstract In this paper, we study the existence of positive solutions for a nonlocal singular elliptic coupled system involving N-Laplace operator. The source term of the system is expressed as the sum of two components: one with subcritical, critical, or supercritical exponential growth controlled by the Trudinger–Moser inequality, and the other being singular at the origin. We also investigate the asymptotic behavior of the solutions with respect to the parameters. Furthermore, we prove that no solutions exist for our system in dimension N = 2 $N=2$ .https://doi.org/10.1186/s13661-025-02006-wNonlocal elliptic systemsSingular equationAsymptotic behaviorTrudinger–Moser inequalityNonlinear equations |
| spellingShingle | Rafik Guefaifia Chahinez Bellamouchi Salah Boulaaras Rashid Jan A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions Boundary Value Problems Nonlocal elliptic systems Singular equation Asymptotic behavior Trudinger–Moser inequality Nonlinear equations |
| title | A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions |
| title_full | A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions |
| title_fullStr | A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions |
| title_full_unstemmed | A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions |
| title_short | A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions |
| title_sort | nonlocal coupled system involving n laplacian operator existence and asymptotic behavior of positive solutions |
| topic | Nonlocal elliptic systems Singular equation Asymptotic behavior Trudinger–Moser inequality Nonlinear equations |
| url | https://doi.org/10.1186/s13661-025-02006-w |
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