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

Liping Wei, Ruyun Ma
2020 Advances in Difference Equations  
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 R by using the directions of a bifurcation and the Picone-type identity for discrete p-Laplacian operators.
doi:10.1186/s13662-020-02667-0 fatcat:6eeziwch3vflddcxdyhwo4bpam