Some Caccioppoli Estimates for Differential Forms. (14th July 2009)

• Record Type: Journal Article
• Authors: Cao, Zhenhua; Bao, Gejun; Xing, Yuming; Li, Ronglu
• Other Names: Ding Shusen Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2009(2009)
• Publication Date: 2009-07-14
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2009/734528
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : We prove the global Caccioppoli estimate for the solution to the nonhomogeneousA -harmonic equationd ∗ A ( x, u, d u ) = B ( x, u, d u ), which is the generalization of the quasilinear equationdiv A ( x, u, ∇ u ) = B ( x, u, ∇ u ) . We will also give some examples to see that not all properties of functions may be deduced to differential forms.