Three positive solutions of N-dimensional p-Laplacian with indefinite weight

This paper is concerned with the global behavior of components of positive radial solutions for the quasilinear elliptic problem with indefinite weight div(ϕp(∇u)) + λh(x)f(u) = 0, in B, u = 0, on ∂B, where ϕp(s) = |s| p−2 s, B is the unit open ball of RN with N ≥ 1, 1 0 is a parameter, f ∈ C([0, ∞), [0, ∞)) and h ∈ C(B¯) is a sign-changing function. We manage to determine the intervals of λ in which the above problem has one, two or three positive radial solutions by using the directions of a bifurcation