The Reverse Hölder Inequality for the Solution to <it>p</it>-Harmonic Type System

The Reverse Hölder Inequality for the Solution to <it>p</it>-Harmonic Type System

<p>Abstract</p> <p>Some inequalities to <inline-formula> <graphic file="1029-242X-2008-397340-i1.gif"/></inline-formula>-harmonic equation <inline-formula> <graphic file="1029-242X-2008-397340-i2.gif"/></inline-formula> have b...

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Bibliographic Details
Main Authors:	Zhu Haijing, Cao Zhenhua, Bao Gejun, Li Ronglu
Format:	Article
Language:	English
Published:	SpringerOpen 2008-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://www.journalofinequalitiesandapplications.com/content/2008/397340

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Summary:	<p>Abstract</p> <p>Some inequalities to <inline-formula> <graphic file="1029-242X-2008-397340-i1.gif"/></inline-formula>-harmonic equation <inline-formula> <graphic file="1029-242X-2008-397340-i2.gif"/></inline-formula> have been proved. The <inline-formula> <graphic file="1029-242X-2008-397340-i3.gif"/></inline-formula>-harmonic equation is a particular form of <inline-formula> <graphic file="1029-242X-2008-397340-i4.gif"/></inline-formula>-harmonic type system <inline-formula> <graphic file="1029-242X-2008-397340-i5.gif"/></inline-formula> only when <inline-formula> <graphic file="1029-242X-2008-397340-i6.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2008-397340-i7.gif"/></inline-formula>. In this paper, we will prove the Poincaré inequality and the reverse Hölder inequality for the solution to the <inline-formula> <graphic file="1029-242X-2008-397340-i8.gif"/></inline-formula>-harmonic type system.</p>
ISSN:	1025-5834 1029-242X