General Hardy inequalities with optimal constants and remainder terms

被引：0
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作者：
Shen Yaotian
Chen Zhihui
机构：
[1] South China University of Technology,School of Mathematical Sciences
[2] University of Science and Technology of China,Department of Mathematics, School of Science
来源：
Journal of Inequalities and Applications | / 2005卷
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摘要：
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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