A non-local perturbation of the logistic equation in IR N

A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish a new sub-supersolution method forgeneral nonlocal elliptic equations and, consequently, we obtain the existence ofpositive solutions of a nonlocal logistic equation.

Detalles Bibliográficos
Autores: Delgado Delgado, Manuel, Molina Becerra, Mónica, Rodrigues dos Santos Júnior, Joao, Suárez Fernández, Antonio
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/91554
Acceso en línea:https://hdl.handle.net/11441/91554
https://doi.org/10.1016/j.na.2019.04.005
Access Level:acceso abierto
Palabra clave:Non-local term, logistic equation
Sub-supersolution method
Descripción
Sumario:A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish a new sub-supersolution method forgeneral nonlocal elliptic equations and, consequently, we obtain the existence ofpositive solutions of a nonlocal logistic equation.