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.
A quantitative stability inequality for fractional capacities / Cinti E.; Ognibene R.; Ruffini B.. - In: MATHEMATICS IN ENGINEERING. - ISSN 2640-3501. - STAMPA. - 4:5(2021), pp. 1-28. [10.3934/mine.2022044]
A quantitative stability inequality for fractional capacities
Cinti E.;Ruffini B.
2021
Abstract
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.File in questo prodotto:
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