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  • 标题:Global continuum and multiple positive solutions to one-dimensional p -Laplacian boundary value problem
  • 本地全文:下载
  • 作者:Liping Wei ; Ruyun Ma
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-13
  • DOI:10.1186/s13662-020-02667-0
  • 出版社:Hindawi Publishing Corporation
  • 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.
  • 关键词:Difference equation;p-Laplacian;Positive solutions;Bifurcation;Picone-type identity;
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