Error analysis for a Crouzeix-Raviart approximation of the p-Dirichlet problem

In the present paper, we examine a Crouzeix-Raviart approximation for non-linear partial differential equations having a (p, delta)-structure for some p is an element of (1, infinity) and delta >= 0. We establish a priori error estimates, which are optimal for all p is an element of (1, infinity) and delta >= 0, medius error estimates, i.e., best-approximation results, and a primal-dual a posteriori error estimate, which is both reliable and efficient. The theoretical findings are supported by numerical experiments.