Global Integrability Theorems for $A$-Harmonic Tensors
Craig A. Nolder
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 Hoelder inequality to such differential forms.