Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics
Abstract
We consider a superlinear indefinite problem with homogeneous Neumann boundary conditions and a parameter appearing in the domain of the di erential equation. Such a problem is an extension of the one studied in [33], in the sense that also negative values of the parameter are allowed.
First, we show how to discretize the problem in a way that is suitable to perform numerical continuation methods and obtain the associated bifurcation diagrams. Then, we analyze the results of the simulations, also studying the stability of the solutions.