Schrondiger type and relaxed Dirichlet problems for the subelliptic p-Laplacian

We study at first the solutions of a Schrodinger type problem relative to t he subelliptic p-Laplacian: we prove, for potentials that are in the Kato s pace, an Harnack inequality on enough small intrinsic balls; the continuity of the solutions to the homogeneous Dirichlet problem follows from some es timates in the proof of the Harnack inequality. In the second part of the p aper we study a relaxed Dirichlet problem for the subelliptic p-Laplacian a nd we prove a Wiener type criterion for the regularity of a point (with res pect to our problem).