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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2009-01-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2009/734528 |
Summary: | 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 of functions may be deduced to differential forms. |
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ISSN: | 1025-5834 1029-242X |