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.

Bibliographic Details
Authors: Delgado Delgado, Manuel; Molina Becerra, Mónica; Rodrigues dos Santos Júnior, Joao; Suárez Fernández, Antonio
Format: Article
Status:Submitted version
Publication date:2019
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/91554
Online Access:https://hdl.handle.net/11441/91554
https://doi.org/10.1016/j.na.2019.04.005
Access Level:Open access
Keyword:Non-local term, logistic equation
Sub-supersolution method
Description
Summary: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.