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Informace o publikaci
NONRADIALITY OF SECOND EIGENFUNCTIONS OF THE FRACTIONAL LAPLACIAN IN A BALL
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Rok publikování | 2022 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Proceedings of the American Mathematical Society |
Fakulta / Pracoviště MU | |
Citace | |
www | |
Doi | http://dx.doi.org/10.1090/proc/16062 |
Klíčová slova | Fractional Laplacian; eigenvalues; symmetries of eigenfunctions; ball; polarization |
Popis | Using symmetrization techniques, we show that, for every , any second eigenfunction of the fractional Laplacian in the -dimensional unit ball with homogeneous Dirichlet conditions is nonradial, and hence its nodal set is an equatorial section of the ball. |
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