A global regularity result for some degenerate elliptic systems

We establish a Caccioppoli-type inequality for a second-order degenerate elliptic systems of pp-Laplacian type. As a direct consequence, exploiting classical Campanato’s approach and the hole-filling technique due to Widman, we are able to prove a global regularity result on Morrey’s and LqLq spaces, with q>pq>p.