[摘要] In this paper we analyze the free boundary for the inhomogeneous obstacle problem with zero obstacle governed by the degenerate operator div(A/(delu)) = fchi({u>0}), where f is a positive, Lipschitz function, and A(delu) is of the p-Laplacian type, i.e., A(delu) approximate to \delu\(p-2)delu, (2 < infinity). As a result of our analysis we obtain stability and finite (N - 1)-Hausdorff measure of the free boundary. Our technique is a modified version of that of L.A. Caffarelli, who obtained similar results for p = 2. (C) 2003 Published by Elsevier Inc.