The refinement and generalization of Hardy’s inequality in Sobolev space

The refinement and generalization of Hardy’s inequality in Sobolev space

Abstract In this paper, we refine the proof of Hardy’s inequality in (Evans in Partial Differential Equations, 2010, Hardy in Inequalities, 1952) and extend Hardy’s inequality from two aspects. That is to say, we extend the integral estimation function from u|x| $\frac{u}{|x|}$ to u|x|σ $\frac{u}{|x...

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Bibliographic Details
Main Authors: Xiaomin Xue, Fushan Li
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Journal of Inequalities and Applications
Subjects:
Hardy’s inequality
Integrate by part
Cauchy inequality
Divergence theorem
Online Access:http://link.springer.com/article/10.1186/s13660-018-1922-5

Internet

http://link.springer.com/article/10.1186/s13660-018-1922-5

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