@article{Colasuonno2023, 
author = {Francesca Colasuonno and Fausto Ferrari and Paola Gervasio and Alfio Quarteroni},
title = {Some evaluations of the fractional  p-Laplace operator on radial functions},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {1},
pages = {1-23},
keywords = {fractional p-Laplacian, strong comparison principle, p-fractional torsion problem, Gaussian quadrature formulas, numerical approximation of singular integrals},
url = {https://www.sciopen.com/article/10.3934/mine.2023015},
doi = {10.3934/mine.2023015},
abstract = {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  (−Δ)s(1−|x|2)+s and  −Δp(1−|x|pp−1) are constant functions in  (−1,1) for fixed  p and  s. We evaluated  (−Δp)s(1−|x|pp−1)+s proving that it is not constant in  (−1,1) for some  p∈(1,+∞) and  s∈(0,1). This conclusion is obtained numerically thanks to the use of very accurate Gaussian numerical quadrature formulas.}
}