Some superlinear problems with nonlocal diffusion coefficient

被引：3

作者：

Figueiredo-Sousa, Tarcyana S. ^{[1
]}

Morales-Rodrigo, Cristian ^{[1
]}

Suarez, Antonio ^{[1
]}

机构：

[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Apdo Correos 1160, E-41080 Seville, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 482卷 / 01期

关键词：

Non-local diffusion coefficient; Superlinear problem; Bifurcation method; POSITIVE SOLUTIONS; UNIQUENESS;

D O I：

10.1016/j.jmaa.2019.123519

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a superlinear elliptic problem with a non-local diffusion coefficient. We show that there exists a drastic change on the structure of the set of positive solutions when the non-local coefficient grows fast enough to infinity. We combine mainly sub-super and bifurcation methods to obtain our results. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：25

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