A remark on the two-phase obstacle-type problem for the p-Laplacian

摘要

In this paper, we give a remark on the two-phase obstacle-typeproblem for the p-Laplacian when 1 < p < 2 {1<2} and p is close to 2. We prove that the free boundary wherethe gradient vanishes has locally finite ( n - 1 ) {(n-1)} -Hausdorff measure.