分数容量的数量稳定性不等式

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematics in Engineering Pub Date : 2021-07-17 DOI:10.3934/mine.2022044

E. Cinti, R. Ognibene, B. Ruffini

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引用次数: 1

摘要

这项工作的目的是显示分数等电容不等式的非尖锐定量稳定性版本。特别地，我们根据弗伦克尔不对称提供了等电容赤字的下界。此外，我们给出了$ s $-分数容量在$ s $趋于$ 1 $时的渐近性，以及我们的估计相对于参数$ s $的稳定性。

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A quantitative stability inequality for fractional capacities

The aim of this work is to show a non-sharp quantitative stability version of the fractional isocapacitary inequality. In particular, we provide a lower bound for the isocapacitary deficit in terms of the Fraenkel asymmetry. In addition, we provide the asymptotic behaviour of the $ s $-fractional capacity when $ s $ goes to $ 1 $ and the stability of our estimate with respect to the parameter $ s $.

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来源期刊

Mathematics in Engineering MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 weeks