In this article, we study the bifurcation of positive solutions for the one-dimensional (p; q)-Laplace equation under Dirichlet boundary conditions. We investigate the shape of the bifurcation diagram and prove that there exist five different types of bifurcation diagrams. As a consequence, we prove the existence of multiple positive solutions and show the uniqueness of positive solutions for a bifurcation parameter in a certain range.
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - 2017 Jan 1|
- (p, q)-Laplace equation
- Multiple solutions
- Positive solution
- Time map
ASJC Scopus subject areas