Multiplicity results for bound state solutions of a semilinear equation
link https://doi.org/10.21711/231766362024/rmc596account_box Herreros Cortázar, Pilar
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We consider the problem of multiplicity and uniqueness of radial solutions of a nonlinear elliptic equation of the form where f is a prescribed function, satisfying appropriate conditions. This paper is a review of recent developments on the multiplicity of solutions, with a special emphasis on the effect of the mid-range behavior of the nonlinearity f over the existence and multiplicity of solutions.
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| Autor | Herreros Cortázar, Pilar |
| Título | Multiplicity results for bound state solutions of a semilinear equation |
| Revista | Matemática Contemporânea |
| ISSN | 2317-6636 |
| Volumen | 59 |
| Página inicio | 80 |
| Página final | 106 |
| Fecha de publicación | 2024 |
| Resumen | We consider the problem of multiplicity and uniqueness of radial solutions of a nonlinear elliptic equation of the form where f is a prescribed function, satisfying appropriate conditions. This paper is a review of recent developments on the multiplicity of solutions, with a special emphasis on the effect of the mid-range behavior of the nonlinearity f over the existence and multiplicity of solutions. |
| Derechos | acceso abierto |
| DOI | 10.21711/231766362024/rmc596 |
| Enlace | |
| Paginación | 27 páginas |
| Palabra clave | Multiplicity of solutions Ground state solutions Bound state solutions |
| Temática | Matemática física y química |
| Tipo de documento | artículo |