A note on the mass-critical inhomogeneous generalized Hartree equation
Abstract The objective of this study is to investigate the inhomogeneous nonlinear generalized Hartree equation within the mass-critical regime. Precisely, we give a threshold of global existence versus blow-up of energy solutions depending on the size of the mass compared with the L 2 $L^{2}$ norm...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-025-02107-6 |
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| author | Saleh S. Almuthaybiri Tarek Saanouni |
| author_facet | Saleh S. Almuthaybiri Tarek Saanouni |
| author_sort | Saleh S. Almuthaybiri |
| collection | DOAJ |
| description | Abstract The objective of this study is to investigate the inhomogeneous nonlinear generalized Hartree equation within the mass-critical regime. Precisely, we give a threshold of global existence versus blow-up of energy solutions depending on the size of the mass compared with the L 2 $L^{2}$ norm of the associated ground state. This complements the existing literature to the case of a non-local source term. |
| format | Article |
| id | doaj-art-4bdff26affc7400cbf8021256dafd14e |
| institution | Kabale University |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-4bdff26affc7400cbf8021256dafd14e2025-08-24T11:41:21ZengSpringerOpenBoundary Value Problems1687-27702025-08-012025112010.1186/s13661-025-02107-6A note on the mass-critical inhomogeneous generalized Hartree equationSaleh S. Almuthaybiri0Tarek Saanouni1Department of Mathematics, College of Science, Qassim UniversityDepartment of Mathematics, College of Science, Qassim UniversityAbstract The objective of this study is to investigate the inhomogeneous nonlinear generalized Hartree equation within the mass-critical regime. Precisely, we give a threshold of global existence versus blow-up of energy solutions depending on the size of the mass compared with the L 2 $L^{2}$ norm of the associated ground state. This complements the existing literature to the case of a non-local source term.https://doi.org/10.1186/s13661-025-02107-6Inhomogeneous Hartree equationNonlinear equationsMass-criticalConcentrationApproximationConvergence |
| spellingShingle | Saleh S. Almuthaybiri Tarek Saanouni A note on the mass-critical inhomogeneous generalized Hartree equation Boundary Value Problems Inhomogeneous Hartree equation Nonlinear equations Mass-critical Concentration Approximation Convergence |
| title | A note on the mass-critical inhomogeneous generalized Hartree equation |
| title_full | A note on the mass-critical inhomogeneous generalized Hartree equation |
| title_fullStr | A note on the mass-critical inhomogeneous generalized Hartree equation |
| title_full_unstemmed | A note on the mass-critical inhomogeneous generalized Hartree equation |
| title_short | A note on the mass-critical inhomogeneous generalized Hartree equation |
| title_sort | note on the mass critical inhomogeneous generalized hartree equation |
| topic | Inhomogeneous Hartree equation Nonlinear equations Mass-critical Concentration Approximation Convergence |
| url | https://doi.org/10.1186/s13661-025-02107-6 |
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