Open Access

New weighted poincaré-type inequalities for differential forms

Journal of Inequalities and Applications20052005:867306

https://doi.org/10.1155/JIA.2005.165

Received: 20 July 2003

Published: 1 June 2005

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.

Authors’ Affiliations

(1)
College of Mathematics and Computer, Hebei University

Copyright

© Hongya and Hua. 2005