Electronic Journal of Differential Equations, Vol. 2007(2007), No. 35, pp. 1-7. Title: Eigencurves of the p-Laplacian with weights and their asymptotic behavior Authors: Ahmed Dakkak (Univ. Moulay Ismail, Errachidia, Morocco) Mohammed Hadda (Univ. Moulay Ismail, Errachidia, Morocco) Abstract: In this paper we study the existence of the eigencurves of the p-Laplacian with indefinite weights. We obtain also their variational formulations and asymptotic behavior. Submitted July 21, 2006. Published February 27, 2007. Math Subject Classifications: 35J20, 35J70, 35P05, 35P30. Key Words: Nonlinear eigenvalue problem; eigencurves; p-Laplacian; indefinite weight; asymptotic behavior.