Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases
Abstract This paper is devoted to the existence of singular limit solutions for a nonlinear elliptic system of Liouville type under Navier boundary conditions in a bounded open domain of R 4 $\mathbb{R}^{4}$ . The concerned results are obtained employing the nonlinear domain decomposition method and...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-024-01828-4 |
| _version_ | 1797276418993815552 |
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| author | Sami Baraket Anis Ben Ghorbal Rima Chetouane Azedine Grine |
| author_facet | Sami Baraket Anis Ben Ghorbal Rima Chetouane Azedine Grine |
| author_sort | Sami Baraket |
| collection | DOAJ |
| description | Abstract This paper is devoted to the existence of singular limit solutions for a nonlinear elliptic system of Liouville type under Navier boundary conditions in a bounded open domain of R 4 $\mathbb{R}^{4}$ . The concerned results are obtained employing the nonlinear domain decomposition method and a Pohozaev-type identity. |
| first_indexed | 2024-03-07T15:27:59Z |
| format | Article |
| id | doaj.art-a12a7d965f5040c78d1c6b886e1e1bd9 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-03-07T15:27:59Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-a12a7d965f5040c78d1c6b886e1e1bd92024-03-05T16:36:39ZengSpringerOpenBoundary Value Problems1687-27702024-01-012024117810.1186/s13661-024-01828-4Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general casesSami Baraket0Anis Ben Ghorbal1Rima Chetouane2Azedine Grine3Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU)Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU)Department of Mathematics, Faculty of Exact Sciences, Constantine 1 Frères Mentouri UniversityDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU)Abstract This paper is devoted to the existence of singular limit solutions for a nonlinear elliptic system of Liouville type under Navier boundary conditions in a bounded open domain of R 4 $\mathbb{R}^{4}$ . The concerned results are obtained employing the nonlinear domain decomposition method and a Pohozaev-type identity.https://doi.org/10.1186/s13661-024-01828-4Liouville type systemSingular limit solutionNonlinear domain decomposition methodGreen’s functionPohozaev identity |
| spellingShingle | Sami Baraket Anis Ben Ghorbal Rima Chetouane Azedine Grine Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases Boundary Value Problems Liouville type system Singular limit solution Nonlinear domain decomposition method Green’s function Pohozaev identity |
| title | Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases |
| title_full | Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases |
| title_fullStr | Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases |
| title_full_unstemmed | Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases |
| title_short | Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases |
| title_sort | blow up solutions for a 4 dimensional semilinear elliptic system of liouville type in some general cases |
| topic | Liouville type system Singular limit solution Nonlinear domain decomposition method Green’s function Pohozaev identity |
| url | https://doi.org/10.1186/s13661-024-01828-4 |
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