Electronic Journal of Differential Equations, Vol. 2002(2002), No. 33, pp. 1-12. Title: On the eigenvalue problem for the Hardy-Sobolev operator with indefinite weights Author: K. Sreenadh (Indian Institute of Technology, Kanpur, India) Abstract: In this paper we study the eigenvalue problem $$ -\Delta_{p}u-a(x)|u|^{p-2}u=\lambda |u|^{p-2}u, \quad u\in W^{1,p}_{0}(\Omega), $$ where $1