Electronic Journal of Differential Equations, Vol. 2006(2006), No. 144, pp. 1-14. Title: A Quasistatic unilateral contact problem with slip-dependent coefficient of friction for nonlinear elastic materials Author: Arezki Touzaline (Univ. of Sciences and Tech. Houari Boumediene, Algeria) Abstract: Existence of a weak solution under a smallness assumption of the coefficient of friction for the problem of quasistatic frictional contact between a nonlinear elastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip dependent friction coefficient and a nonlocal and regularized contact pressure. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments. Submitted May 5, 2006. Published November 16, 2006. Math Subject Classifications: 35J85, 49J40, 47J20, 74M15. Key Words: Existence; quasistatic; nonlinear elastic; slip-dependent friction; incremental; variational inequality.