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math.AP2020★ 1 cited
Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian
Pierre Aime Feulefack, Sven Jarohs, Tobias Weth
In this article, we study the asymptotics of Dirichlet eigenvalues and eigenfunctions of the fractional Laplacian in bounded open Lipschitz sets in the small order limit $…
math.AP2020
Morse index versus radial symmetry for fractional Dirichlet problems
Mouhamed Moustapha Fall, Pierre Aime Feulefack, Remi Yvant Temgoua +1
In this work, we provide an estimate of the Morse index of radially symmetric sign changing bounded weak solutions to the semilinear fractional Dirichlet problem $$ (-Δ)^su = f…