通过分部积分的分数哈代-雷利希不等式

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications 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

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.