A Leray-Trudinger inequality

G. Psaradakis; D. Spector

doi:10.1016/j.jfa.2015.04.007

A Leray-Trudinger inequality

G. Psaradakis^*
, D. Spector

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

8 引文斯高帕斯（Scopus）

摘要

We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case p=n≥2. In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the corresponding improvements obtained for p=2<n in S. Filippas and A. Tertikas (2002) [16], and for p>n≥1 in G. Psaradakis (2012) [26].

原文	英語
頁（從 - 到）	215-228
頁數	14
期刊	Journal of Functional Analysis
卷	269
發行號	1
DOIs	https://doi.org/10.1016/j.jfa.2015.04.007
出版狀態	已發佈 - 2015 7月 1
對外發佈	是

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10.1016/j.jfa.2015.04.007

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abstract = "We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case p=n≥2. In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the corresponding improvements obtained for p=2n≥1 in G. Psaradakis (2012) [26].",

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KW - Hardy inequality

KW - Leray potential

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A Leray-Trudinger inequality

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