NONRADIALITY OF SECOND EIGENFUNCTIONS OF THE FRACTIONAL LAPLACIAN IN A BALL

• Authors: BENEDIKT Jiří; BOBKOV Vladimir; DHARA Raj Narayan; GIRG Petr
• Year of publication: 2022
• Type: Article in Periodical
• Magazine / Source: Proceedings of the American Mathematical Society
• MU Faculty or unit: Faculty of Science

Web

• https://arxiv.org/pdf/2102.08298.pdf
• https://www.ams.org/journals/proc/2022-150-12/S0002-9939-2022-16062-6/home.html

• Doi: http://dx.doi.org/10.1090/proc/16062
• Keywords: Fractional Laplacian; eigenvalues; symmetries of eigenfunctions; ball; polarization
• Description: 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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