A non-local perturbation of the logistic equation in IRN. (October 2019)

• Record Type: Journal Article
• Authors: Delgado, M.; Molina-Becerra, M.; Santos Júnior, J.R.; Suárez, A.
• Is Part Of: Nonlinear analysis. Volume 187(2019)
• Page Start: 147
• Page End: 158
• Publication Date: 2019-10
• Subjects: 35J15 -- 35J60; Non-local term -- Logistic equation -- Sub–supersolution method; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.04.005
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: 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 for general nonlocal elliptic equations and, consequently, we obtain the existence of positive solutions of a nonlocal logistic equation.