Anti-symmetry of the second eigenfunction of the fractional Laplace operator in a 3-D ball

DOI10.1007/s00030-019-0554-xzbMath1506.35264arXiv1706.04960OpenAlexW2913879297WikidataQ128461140 ScholiaQ128461140MaRDI QIDQ1729836

Rui A. C. Ferreira

Publication date: 28 February 2019

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04960

zbMATH Keywords

unit ballfractional Laplaciananti-symmetry

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Fractional partial differential equations (35R11)

Related Items (5)

Nonradiality of second eigenfunctions of the fractional Laplacian in a ball ⋮ Nonradiality of second fractional eigenfunctions of thin annuli ⋮ Blow-up phenomena in nonlocal eigenvalue problems: when theories of \(L^1\) and \(L^2\) meet ⋮ Morse index versus radial symmetry for fractional Dirichlet problems ⋮ Fourier pseudospectral method for fractional stationary Schrödinger equation

Cites Work

• Nonlocal diffusion and applications
• Eigenvalues of the fractional Laplace operator in the interval
• The Cauchy process and the Steklov problem
• Inequalities for Beta and Gamma functions via some classical and new integral inequalities
• Eigenvalues of the fractional Laplace operator in the unit ball

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