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

Advances in Difference Equations

article

Wei, Liping¹  Ma, Ruyun¹ 

[1] Department of Mathematics, Northwest Normal University

关键词: Difference equation;    p -Laplacian;    Positive solutions;    Bifurcation;    Picone-type identity;   

DOI  :  10.1186/s13662-020-02667-0

学科分类：航空航天科学

来源: SpringerOpen

【 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 λ lying in various intervals in $\mathbb {R}$ by using the directions of a bifurcation and the Picone-type identity for discrete p-Laplacian operators.

【 授权许可】

CC BY