Some evaluations of the fractional p-Laplace operator on radial functions

Some evaluations of the fractional p-Laplace operator on radial functions

We face a rigidity problem for the fractional $ p $-Laplace operator to extend to this new framework some tools useful for the linear case. It is known that $ (-\Delta)^s(1-|x|^{2})^s_+ $ and $ -\Delta_p(1-|x|^{\frac{p}{p-1}}) $ are constant functions in $ (-1, 1) $ for fixed $ p $ and $ s $. We eva...

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Bibliographic Details
Main Authors: Francesca Colasuonno, Fausto Ferrari, Paola Gervasio, Alfio Quarteroni
Format: Article
Language:English
Published: AIMS Press 2023-02-01
Series:Mathematics in Engineering
Subjects:
fractional $ p $-laplacian
strong comparison principle
$ p $-fractional torsion problem
gaussian quadrature formulas
numerical approximation of singular integrals
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2023015?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mine.2023015?viewType=HTML

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