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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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/734528 |
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doaj-614e49f6a2214ad1a0cf2ee9e485bc872020-11-24T23:01:48ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/734528Some Caccioppoli Estimates for Differential FormsZhenhua CaoGejun BaoYuming XingRonglu LiWe 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. http://dx.doi.org/10.1155/2009/734528 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhenhua Cao Gejun Bao Yuming Xing Ronglu Li |
| spellingShingle |
Zhenhua Cao Gejun Bao Yuming Xing Ronglu Li Some Caccioppoli Estimates for Differential Forms Journal of Inequalities and Applications |
| author_facet |
Zhenhua Cao Gejun Bao Yuming Xing Ronglu Li |
| author_sort |
Zhenhua Cao |
| title |
Some Caccioppoli Estimates for Differential Forms |
| title_short |
Some Caccioppoli Estimates for Differential Forms |
| title_full |
Some Caccioppoli Estimates for Differential Forms |
| title_fullStr |
Some Caccioppoli Estimates for Differential Forms |
| title_full_unstemmed |
Some Caccioppoli Estimates for Differential Forms |
| title_sort |
some caccioppoli estimates for differential forms |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2009-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2009/734528 |
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AT zhenhuacao somecaccioppoliestimatesfordifferentialforms AT gejunbao somecaccioppoliestimatesfordifferentialforms AT yumingxing somecaccioppoliestimatesfordifferentialforms AT rongluli somecaccioppoliestimatesfordifferentialforms |
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