An obstacle control problem involving the p-Laplacian

Abstract

In this paper, we consider the analogous of the obtacle problem in $H_0^1(\Omega )$, on the space $W_0^{1,p}(\Omega )$. We prove an existence and uniqueness of the result. In a second time, we define the optimal control problem associated. The results, here enclosed, generalize the one obtained by D.R. Adams, S. Lenhard