Some Caccioppoli Estimates for Differential Forms

We prove the global Caccioppoli estimate for the solution to the nonhomogeneous A-harmonic equation d∗A(x,u,du)=B(x,u,du), which is the generalization of the quasilinear equation divA(x,u,∇u)=B(x,u,∇u). We will also give some examples to see that not all properties o...

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Bibliographic Details
Main Authors: Zhenhua Cao, Gejun Bao, Yuming Xing, Ronglu Li
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/734528