A logistic type equation in RN with a nonlocal reaction term via bifurcation method

被引：3
|
作者：
Delgado, Manuel [1 ]
Molina-Becerra, Monica [2 ]
Suarez, Antonio [1 ]
机构：
[1] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, Seville, Spain
[2] Univ Seville, Esc Politecn Super, Dept Matemat Aplicada 2, Seville, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 493卷 / 01期
关键词：
Nonlocal term; Logistic equation; Bifurcation method; SEMILINEAR ELLIPTIC PROBLEM; PRINCIPAL EIGENVALUES; POSITIVE SOLUTIONS;
D O I：
10.1016/j.jmaa.2020.124532
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of positive solutions of a logistic equation in the entire space with a nonlocal reaction term. Mainly, we apply a bifurcation method and singular boundary equations to obtain a priori bounds of the solutions. Our results show a drastic change of behaviour of the set of positive solutions depending on the sign of the nonlocal term. (c) 2020 Elsevier Inc. All rights reserved.
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页数：19
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