Positive solutions of a nonlocal singular elliptic equation by means of a non-standard bifurcation theory

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:469

Article

Delgado, M.¹  Duarte, I. B. M.²  Suarez, A.¹ 

[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, C Tarfia S-N, E-41012 Seville, Spain

[2] Univ Fed Para, Fac Matemat, BR-66075110 Belem, PA, Brazil

关键词: Bifurcation theory;    Leray-Schauder degree;    Nonlocal elliptic equations;    Nonlocal logistic equation;    Nonlocal Holling-Tanner equation;   

DOI  :  10.1016/j.jmaa.2018.09.043

来源: Elsevier

【 摘 要 】

We consider a nonlocal elliptic equation arising in a prey-predator model whose nonlocal term is singular. We use the Leray-Schauder degree to prove the existence of an unbounded continuum of positive solutions emanating from the trivial solution. As application, we study nonlocal and singular elliptic equations of the type logistic and Holling-Tanner. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free