Electronic Journal of Differential Equations, Vol. 2005(2005), No. 99, pp. 1-13. Title: Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials Authors: Arezki Touzaline (USTHB, EL Alia, Algerie) Alain Mignot (IRMAR, Beaulieu, France) Abstract: This paper shows the existence of a solution of the quasi-static unilateral contact problem with nonlocal friction law for nonlinear elastic materials. We set up a variational incremental problem which admits a solution, when the friction coefficient is small enough, and then by passing to the limit with respect to time we obtain a solution. Submitted June 11, 2004. Published September 19, 2005. Math Subject Classifications: 35J85, 49J40, 47J20, 58E35. Key Words: Nonlinear elasticity; nonlocal friction; incremental; variational inequality; monotone