Abstract
We prove BMO estimates of the inhomogeneous p-Laplace system -div(A(grad u))=-div(f). We show that f is an element of BMO implies A(grad u) is an element of BMO, which is the limiting case of the nonlinear Calderon-Zygmund theory.
This extends the work of DiBenedetto and Manfredi (1993) to a more general growth of A. Moreover, we prove that A(grad u) inherits also the Campanato and VMO regularity of f.