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. (2021). 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

Ognibene R.;
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.
Articolo in rivista - Articolo scientifico
Caffarelli-Silvestre extension; Capacity; Fractional Laplacian; Quantitative inequalities;
English
1
28
28
Gold Open Access• Green Open Access
Cinti, E., Ognibene, R., Ruffini, B. (2021). A quantitative stability inequality for fractional capacities. MATHEMATICS IN ENGINEERING, 4(5), 1-28 [10.3934/mine.2022044].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/344848
Citazioni
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
Social impact