Title: Monotonicity and enclosure methods for the p-Laplace equation,
Abstract: We show that the convex hull of a monotone perturbation of a homogeneous
background conductivity in the $p$-conductivity equation is determined by
knowledge of the nonlinear Dirichlet-Neumann operator. We give two independent
proofs, one of which is based on the monotonicity method and the other on the
enclosure method. Our results are constructive and require no jump or
smoothness properties on the conductivity perturbation or its support.