通过分部积分的分数哈代-雷利希不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-05 DOI:10.1016/j.na.2023.113478

Nicola De Nitti , Sidy Moctar Djitte

引用次数: 0

摘要

我们证明了在类 C1,1 有界域中具有明确常数的分数哈代-雷利克不等式。证明策略是对 E. Mitidieri（Mat. Zametki, 2000）开创的一种方法的推广，它依赖于 Pohozaev 类型的特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fractional Hardy–Rellich inequalities via integration by parts

We prove a fractional Hardy–Rellich inequality with an explicit constant in bounded domains of class $C^{1, 1}$ . The strategy of the proof generalizes an approach pioneered by E. Mitidieri (Mat. Zametki, 2000) by relying on a Pohozaev-type identity.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.