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math.AP2022
Oscillatory Phenomena for Higher-Order Fractional Laplacians
Nicola Abatangelo, Sven Jarohs
We collect some peculiarities of higher-order fractional Laplacians , , with special attention to the range , which show their oscillatory nature. These inc…
math.AP2022
On the shape of the first fractional eigenfunction
Nicola Abatangelo, Sven Jarohs
We show that the first eigenfunction of the fractional Laplacian , , is superharmonic in the unitary ball up to dimension . To this aim, we also rely on…
math.AP2022★ 1 cited
Nonradiality of second fractional eigenfunctions of thin annuli
Sidy M. Djitte, Sven Jarohs
In the present paper, we study properties of the second Dirichlet eigenvalue of the fractional Laplacian of annuli-like domains and the corresponding eigenfunctions. In the first p…