Generalized eigenvalue problem for an interface elliptic equation

被引：3

作者：

Maia, Braulio B. V. ^{[1
]}

Molina-Becerra, Monica ^{[2
]}

Morales-Rodrigo, Cristian ^{[3
]}

Suarez, Antonio ^{[3
]}

机构：

[1] Univ Fed Rural Amazonia, Campus Capitao Poco, Belem, PA, Brazil

[2] Univ Seville, Escuela Politecn Super, Dept Matemat Aplicada 2, Calle Virgen Africa 7, Seville 41011, Spain

[3] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, IMUS, C Tarfia S-N, Seville 41013, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 390卷

关键词：

Interface; Principal eigenvalue; Positive solutions; BOUNDARY-VALUE PROBLEM; PRINCIPAL EIGENVALUES;

D O I：

10.1016/j.jde.2024.02.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deal with an eigenvalue problem in an interface elliptic equation. We characterize the set of principal eigenvalues as a level set of a concave and regular function. As application, we study a problem arising in population dynamics. In these problems each species lives in a subdomain, and they interact in a common border, which acts as a geographical barrier; but unlike previous results, we consider the case of different growth rates in each subdomain. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY -NC -ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).

引用

页码：494 / 524

页数：31

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