Some Caccioppoli Estimates for Differential Forms

Some Caccioppoli Estimates for Differential Forms

We prove the global Caccioppoli estimate for the solution to the nonhomogeneous -harmonic equation , which is the generalization of the quasilinear equation . We will also give some examples to see that not all properties of functions may be deduced to differential forms.

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Veröffentlicht in:Journal of inequalities and applications 2009-01, Vol.2009 (1), p.734528
Hauptverfasser: Cao, Zhenhua, Bao, Gejun, Xing, Yuming, Li, Ronglu
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Research Article
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Beschreibung
Zusammenfassung:We prove the global Caccioppoli estimate for the solution to the nonhomogeneous -harmonic equation , which is the generalization of the quasilinear equation . We will also give some examples to see that not all properties of functions may be deduced to differential forms.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1155/2009/734528