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(phi(p)(del u)) + lambda h(x)f(u) = 0, in B, u = 0, on partial derivative B, where phi(p)(s) = vertical bar s vertical bar(p-2)s, B is the unit open ball of R-N with N >= 1,1 < p < infinity, lambda > 0 is a parameter, f is an element of C([0, infinity), [0, infinity)) and h is an element of C((B) over bar) is a sign-changing function. We manage to determine the intervals of lambda in which the above problem has one, two or three positive radial solutions by using the directions of a bifurcation.