... Inequalities and ApplicationsVolume 2009, Article ID 734528, 11 pagesdoi:10.1155/2009/734528 Research Article Some Caccioppoli Estimates for Differential FormsZhenhua Cao, Gejun Bao, Yuming Xing, ... differential forms in 3. In 1993, Iwaniecand Lutoborski discussed the Poincar´e inequality for differential forms when 1 <p<nin4, and the Poincar´e inequality for differential forms ... then for any differential form u, one has|d|u − uΩ||≤ Cn, p|du|. 2.3Lemma 2.3 5. If f, g ≥ 0 and for any nonnegative η ∈ C∞0Ω, one hasΩηf dx ≤Ωgdx, 2.4then for...