A remark on the two-phase obstacle-type problem for the p-Laplacian
Jun Ping Zheng, Binhua Feng, Peihao Zhao · Advances in Calculus of Variations · 2017
Abstract In this paper, we give a remark on the two-phase obstacle-type problem for the p-Laplacian when 1 < p < 2 {1 and p is close to 2. We prove that the free boundary where the gradient vanishes has locally finite ( n - 1 ) {(n-1)} -Hausdorff measure.