Electronic Journal of Differential Equations, Vol. 2002(2002), No. 56, pp. 1-11. Title: A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space Authors: Mokthar Kirane (Univ. de la Rochelle, France) Eric Nabana (Univ.de Picardie, France) Abstract: We show that a system of quasilinear degenerate elliptic inequalities does not have non-trivial solutions for a certain range of parameters in the system. The proof relies on a suitable choice of the test function in the weak formulation of the inequalities. Submitted March 02, 2002. Published June 17, 2002. Math Subject Classifications: 35D05, 35J99. Key Words: Elliptic systems; nonexistence.