The existence of minimal large positive solutions for a class of nonlinear cooperative systems
In this paper we establish the existence of the minimal large positive solution for a general class of nonlinear cooperative systems including the simplest prototype of García-Melián et al. (2016). Precisely, based on the existence of a large positive supersolution, we can infer the existence of the...
| Autores: | , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/105949 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/105949 |
| Access Level: | acceso abierto |
| Palavra-chave: | Nonlinear cooperative systems Large solution Large supersolution Minimal large solution Ecuaciones diferenciales 1206.02 Ecuaciones Diferenciales |
| Resumo: | In this paper we establish the existence of the minimal large positive solution for a general class of nonlinear cooperative systems including the simplest prototype of García-Melián et al. (2016). Precisely, based on the existence of a large positive supersolution, we can infer the existence of the minimal large positive solution. Moreover, we also give some sufficient easily computable conditions for the existence of a large positive supersolution. Our results generalize, very substantially, some of the findings of García-Melián et al. (2016) adopting a rather novel methodology. |
|---|