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.
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页数：25
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