Global continuum and multiple positive solutions to one-dimensional p-Laplacian boundary value problem

被引：2

作者：

Wei, Liping ^{[1
]}

Ma, Ruyun ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Difference equation; p-Laplacian; Positive solutions; Bifurcation; Picone-type identity; EXISTENCE;

D O I：

10.1186/s13662-020-02667-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the global structure of the set of positive solutions of a discrete Dirichlet problem involving the p-Laplacian difference operator suggesting suitable conditions on the weight function and nonlinearity. We obtain existence and multiplicity of positive solutions for lambda lying in various intervals in R by using the directions of a bifurcation and the Picone-type identity for discrete p-Laplacian operators.

引用

页数：13

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