二维无旋度场临界Hardy-Leray不等式的最佳常数

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/MIA-2021-24-27

N. Hamamoto, F. Takahashi

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引用次数: 2

摘要

。本文证明了无旋流场临界Hardy-Leray In -等式的最佳可能常数为1 / 4，与所有光滑场的最佳可能常数相同。这一事实与作者b[6]最近关于无旋流场的次临界Hardy-Leray不等式的结果形成鲜明对比，并显示了该不等式的临界性。

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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Best constant of the critical Hardy-Leray inequality for curl-free fields in two dimensions

. In this note, we prove that the best-possible constant of the critical Hardy-Leray in- equality for curl-free ﬁ elds is 1 / 4, just the same value as the one for all smooth ﬁ elds. This fact contrasts sharply with the recent result on the subcritical Hardy-Leray inequality for curl-free ﬁ elds by the authors [6], and shows the criticality of the inequality.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.