On a system of Schrödinger equations with general quadratic-type nonlinearities
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| Autors: | , |
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| Format: | artículo original |
| Data de publicació: | 2021 |
| Descripció: | In this work, we study a system of Schrödinger equations involving nonlinearities with quadratic growth. We establish sharp criterion concerned with the dichotomy global existence versus blow-up in finite time. Such a criterion is given in terms of the ground state solutions associated with the corresponding elliptic system, which in turn are obtained by applying variational methods. By using the concentration-compactness method we also investigate the nonlinear stability/instability of the ground states. |
| Pais: | Kérwá |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Idioma: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/91936 |
| Accés en línia: | https://worldscientific.com/doi/abs/10.1142/S0219199720500236 https://hdl.handle.net/10669/91936 |
| Paraula clau: | global well-posedness Nonlinear Schrödinger equations blow-up ground states nonlinear stability |