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.

Cinti E., Ognibene R., Ruffini B. (2022). A quantitative stability inequality for fractional capacities. MATHEMATICS IN ENGINEERING, 4(5), 1-28 [10.3934/mine.2022044].

A quantitative stability inequality for fractional capacities

Cinti E.;Ruffini B.
2022

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.
2022
Cinti E., Ognibene R., Ruffini B. (2022). A quantitative stability inequality for fractional capacities. MATHEMATICS IN ENGINEERING, 4(5), 1-28 [10.3934/mine.2022044].
Cinti E.; Ognibene R.; Ruffini B.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/864342
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