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General Hardy inequalities with optimal constants and remainder terms

Abstract

One-dimensional Hardy inequalities with weights and remainder terms are studied. The corresponding optimal constants are discussed. Then by the process of symmetrization, Hardy inequalities with remainder terms in high-dimensional Sobolev spaces are obtained. This result gives a positive answer to the Brézis-Vázquez conjecture.

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Correspondence to Shen Yaotian.

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Yaotian, S., Zhihui, C. General Hardy inequalities with optimal constants and remainder terms. J Inequal Appl 2005, 628485 (2005). https://doi.org/10.1155/JIA.2005.207

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