Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 2, Pages 165-173
doi:10.1155/JIA.2005.165

New weighted poincaré-type inequalities for differential forms

Gao Hongya and Zhang Hua

College of Mathematics and Computer, Hebei University, Baoding 071002, China

Received 20 July 2003

Abstract

We first prove local weighted Poincaré-type inequalities for differential forms. Then, by using the local results, we prove global weighted Poincaré-type inequalities for differential forms in John domains, which can be considered as generalizations of the classical Poincaré-type inequality.