On the relation between interior critical points and parameters for a class of nonlinear problems with Neumann–Robin boundary conditions

We consider boundary value problem where α 0, λ > 0 are parameters and f C2[0, ∞) such that f(0) < 0. In this paper we study for the cases p (0, β) and p (β, θ) (p is the value of the solution at x = 0 and β, θ are such that f(β) = 0, , the relation between λ and the number of interior critical points of the positive solutions of the above system.