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Journal of Inequalities and Applications
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New weighted poincaré-type inequalities for differential forms

Journal of Inequalities and Applications volume 2005, Article number: 867306 (2005) Cite this article

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.

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

    Gao Hongya & Zhang Hua

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  1. Gao Hongya
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  2. Zhang Hua
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Correspondence to Gao Hongya.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Hongya, G., Hua, Z. New weighted poincaré-type inequalities for differential forms. J Inequal Appl 2005, 867306 (2005). https://doi.org/10.1155/JIA.2005.165

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