... inequalities for solutions of the A-harmonic equation,” Journal of Mathematical Analysis and Applications, vol. 279, no. 1, pp. 350–363, 2003.7 L. D’Onofrio and T. Iwaniec, The p-harmonic transform ... 3.22where cis any coclosed form (i.e., d∗c 0) and q is the conjugate exponent of p.Theorem 3.5. If u, v is a pair of solutions to the p-harmonic type system, then there exists a constantC>0 ... uDpχdx1/pχ1|D|DIuIdxIpχdx1/pχ1|D|DIuI2pχ/2dx1/pχ.2.102 Journal of Inequalities and ApplicationsIn this paper, we will prove the Poincar´e inequality see Theorem 2.5 and the reverseH¨older inequality for the solution to the p-harmonic...