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New weighted poincaré-type inequalities for differential forms

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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Correspondence to Gao Hongya.

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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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