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

2017/06/15 by Rui A. C. Ferreira, Ferreira, Rui A. C.
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Inequalities and Applications #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1706.04960

openalex publication_date 2017/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we extend a recent result by Dyda et. al. [B. Dyda, A.\nKuznetsov, M. Kwasnicki, Eigenvalues of the fractional Laplace equation in the\nunit ball, J. Lond. Math. Soc. (2) 95 (2017), 500-518.] to dimension 3.\n

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