Multiplicity of positive solutions for an equation with degenerate nonlocal diffusion

被引：15

作者：

Gasinski, Leszek ^{[1
]}

Santos Junior, Joao R. ^{[2
]}

机构：

[1] Pedag Univ Cracow, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland

[2] Univ Fed Para, Fac Matemat, Inst Ciencias Exatas & Nat, Ave Augusto Correa 01, BR-66075110 Belem, Para, Brazil

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2019年 / 78卷 / 01期

基金：

欧盟地平线“2020”;

关键词：

Nonlocal problems; Degenerate coefficient; Fixed points;

D O I：

10.1016/j.camwa.2019.02.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an elliptic boundary value problem with degenerate nonlocal term. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the number of zeros of the degenerate term. The solutions are also ordered according to their L-p-norms. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：136 / 143

页数：8

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