Poincar&#233; Inequalities with Luxemburg Norms in <inline-formula> <graphic file="1029-242X-2010-241759-i1.gif"/></inline-formula>-Averaging Domains

<p/> <p>We prove both local and global Poincar&#233; inequalities with Luxemburg norms for differential forms in <inline-formula> <graphic file="1029-242X-2010-241759-i2.gif"/></inline-formula>-averaging domains, which can be considered as generalizations...

Full description

Bibliographic Details
Main Author: Xing Yuming
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/241759
Description
Summary:<p/> <p>We prove both local and global Poincar&#233; inequalities with Luxemburg norms for differential forms in <inline-formula> <graphic file="1029-242X-2010-241759-i2.gif"/></inline-formula>-averaging domains, which can be considered as generalizations of the existing versions of Poincar&#233; inequalities.</p>
ISSN:1025-5834
1029-242X