Global Integrability Theorems for A-Harmonic Tensors

We extend global integrability theorems for the gradients of A-harmonic functions to the exterior derivative of differential forms satisfying rather general nonhomogeneous elliptic equations. These include the usual A-harmonic equations. Geometric conditions on the boundary of the domains of integration imply a corresponding exponent of integrability. In the process we generalize the weak reverse H¨older inequality to such differential forms