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.

引用

页数：19

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