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...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2009-01-01
|
Series: | Journal of Inequalities and Applications |
Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/734528 |
Summary: | <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> |
---|---|
ISSN: | 1025-5834 1029-242X |