Electronic Journal of Differential Equations, Vol. 2001(2001), No. 31, pp. 1-20. Title: Potential theory for quasiliniear elliptic equations Authors: A. Baalal (Casablanca, Maroc) A. Boukricha (Tunis, Tunisie) Abstract: We discuss the potential theory associated with the quasilinear elliptic equation $$ -{\rm div}(A(x,\nabla u))+B(x,u)=0. $$ We study the validity of Bauer convergence property, the Brelot convergence property. We discuss the validity of the Keller-Osserman property and the existence of Evans functions. Submitted October 24, 2000. Published May 7, 2001. Math Subject Classifications: 31C15, 35D65, 35J60. Key Words: Quasilinear elliptic equation; Convergence property; Keller-Osserman property; Evans functions.