Electronic Journal of Differential Equations, Vol. 2001(2001), No. 19, pp. 1-14. Title: Local and global estimates for solutions of systems involving the p-Laplacian in unbounded domains Author: A. Bechah (Univ. Paul Sabatier Toulouse 3, France) Abstract: In this paper, we study the local and global behavior of solutions of systems involving the p-Laplacian operator in unbounded domains. We extend some Serrin-type estimates which are known for simple equations to systems of equations. Submitted November 23, 2001. Published March 23, 2001. Math Subject Classifications: 35J20, 35J45, 35J50, 35J70. Key Words: quasilinear systems; p-Laplacian operator; unbounded domain; Serrin estimate.