Sharp Hardy-Sobolev Inequalities with General Weights and Remainder Terms
© Y. Shen and Z. Chen. 2009
Received: 18 December 2008
Accepted: 10 August 2009
Published: 27 September 2009
We consider a class of sharp Hardy-Sobolev inequality, where the weights are functions of the distance from a surface. It is proved that the Hardy-Sobolev inequality can be successively improved by adding to the right-hand side a lower-order term with optimal weight and constant.
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