MULTIPLE POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CONCAVE-CONVEX NONLINEARITIES AND MULTIPLE HARDY-TYPE TERMS

In this paper, we deal with the existence and multiplicity of positive solutions for the quasilinear elliptic problem [GRAPHICS] where Omega subset of R-N (N >= 3) is a smooth bounded domain such that the different points a(i) is an element of Omega i = 1, 2, ..., k, 0 <= mu(i) < <(mu)over bar> = (N - p/p)(p), gimel > 0, 1 <= q < p, and p* = pN/N - p. The results depend crucially on the parameters gimel, q and mu(i) for i = 1, 2, ..., k.