TY - JOUR AU - Wei, Liping AU - Ma, Ruyun PY - 2020 DA - 2020/05/11 TI - Global continuum and multiple positive solutions to one-dimensional p-Laplacian boundary value problem JO - Advances in Difference Equations SP - 204 VL - 2020 IS - 1 AB - 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. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-020-02667-0 DO - 10.1186/s13662-020-02667-0 ID - Wei2020 ER -