Some Caccioppoli Estimates for Differential Forms
<p/> <p>We prove the global Caccioppoli estimate for the solution to the nonhomogeneous <inline-formula> <graphic file="1029-242X-2009-734528-i1.gif"/></inline-formula>-harmonic equation <inline-formula> <graphic file="1029-242X-2009-734528-i2.gi...
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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://www.journalofinequalitiesandapplications.com/content/2009/734528 |
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doaj-d922f70b6b9445cbb7e46735f19fe1722020-11-25T00:19:18ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091734528Some Caccioppoli Estimates for Differential FormsCao ZhenhuaBao GejunXing YumingLi Ronglu<p/> <p>We prove the global Caccioppoli estimate for the solution to the nonhomogeneous <inline-formula> <graphic file="1029-242X-2009-734528-i1.gif"/></inline-formula>-harmonic equation <inline-formula> <graphic file="1029-242X-2009-734528-i2.gif"/></inline-formula>, which is the generalization of the quasilinear equation <inline-formula> <graphic file="1029-242X-2009-734528-i3.gif"/></inline-formula>. We will also give some examples to see that not all properties of functions may be deduced to differential forms.</p>http://www.journalofinequalitiesandapplications.com/content/2009/734528 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cao Zhenhua Bao Gejun Xing Yuming Li Ronglu |
| spellingShingle |
Cao Zhenhua Bao Gejun Xing Yuming Li Ronglu Some Caccioppoli Estimates for Differential Forms Journal of Inequalities and Applications |
| author_facet |
Cao Zhenhua Bao Gejun Xing Yuming Li Ronglu |
| author_sort |
Cao Zhenhua |
| 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 |
<p/> <p>We prove the global Caccioppoli estimate for the solution to the nonhomogeneous <inline-formula> <graphic file="1029-242X-2009-734528-i1.gif"/></inline-formula>-harmonic equation <inline-formula> <graphic file="1029-242X-2009-734528-i2.gif"/></inline-formula>, which is the generalization of the quasilinear equation <inline-formula> <graphic file="1029-242X-2009-734528-i3.gif"/></inline-formula>. We will also give some examples to see that not all properties of functions may be deduced to differential forms.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2009/734528 |
| work_keys_str_mv |
AT caozhenhua somecaccioppoliestimatesfordifferentialforms AT baogejun somecaccioppoliestimatesfordifferentialforms AT xingyuming somecaccioppoliestimatesfordifferentialforms AT lironglu somecaccioppoliestimatesfordifferentialforms |
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