A non-local perturbation of the logistic equation in RN

被引：3

作者：

Delgado, M. ^{[1
]}

Molina-Becerra, M. ^{[2
]}

Santos, J. R., Jr. ^{[3
]}

Suarez, A. ^{[1
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, Seville, Spain

[2] Univ Seville, Dept Matemat Aplicada 2, Esc Politecn Super, Seville, Spain

[3] Univ Fed Para, Fac Matemat, Belem, Para, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 187卷

关键词：

Non-local term; Logistic equation; Sub-supersolution method;

D O I：

10.1016/j.na.2019.04.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：147 / 158

页数：12

共 50 条

[1] STUDY OF A LOGISTIC EQUATION WITH LOCAL AND NON-LOCAL REACTION TERMS
Delgado, Manuel
Figueiredo, Giovany M.
Pimenta, Marcos T. O.
Suarez, Antonio
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2016, 47 (02) : 693 - 713
[2] Perturbation by non-local operators
Chen, Zhen-Qing
Wang, Jie-Ming
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2018, 54 (02): : 606 - 639
[3] THE POISSON EQUATION FROM NON-LOCAL TO LOCAL
Biccari, Umberto
Hernandez-Santamaria, Victor
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[4] The Yamabe equation in a non-local setting
Servadei, Raffaella
ADVANCES IN NONLINEAR ANALYSIS, 2013, 2 (03) : 235 - 270
[5] Isothermalisation for a non-local heat equation
Chasseigne, Emmanuel
Ferreira, Raul
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2014, 13 (04) : 1115 - 1132
[6] A non-local in time telegraph equation
Pozo, Juan C.
Vergara, Vicente
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 193
[7] NON-LOCAL LOGISTIC EQUATIONS FROM THE PROBABILITY VIEWPOINT
D'Ovidio, M.
THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2021, 104 : 77 - 87
[8] Perturbation approach to Eringen's local/non-local constitutive equation with applications to 1-D structures
Eroglu, Ugurcan
MECCANICA, 2020, 55 (05) : 1119 - 1134
[9] Perturbation approach to Eringen’s local/non-local constitutive equation with applications to 1-D structures
Ugurcan Eroglu
Meccanica, 2020, 55 : 1119 - 1134
[10] Non-local to local transition for ground states of fractional Schrodinger equations on RN
Bieganowski, Bartosz
Secchi, Simone
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (03)

← 1 2 3 4 5 →