A uniform bound on the multiplicity of Dirichlet eigenvalues in planar annuli

DOI10.1016/j.jmaa.2022.126616zbMath1500.35214OpenAlexW4292212681MaRDI QIDQ2084844

Wei-wei Wang

Publication date: 13 October 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126616

zbMATH Keywords

multiplicity of eigenvaluesalgebraic independenceLommel polynomial\(E\)-functionzero of cross product of Bessel functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• On the second eigenvalue of the Laplacian in an annulus
• On exact Pleijel's constant for some domains
• Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
• On the Robin spectrum for the hemisphere
• Bounded multiplicity for eigenvalues of a circular vibrating clamped plate
• On nodal domains in Euclidean balls
• Geometrical Structure of Laplacian Eigenfunctions
• Remarks on the Zeros of Cross-Product Bessel Functions
• Some Bessel Equations and Their Applications to Guide and Cavity Theory
• Transcendental Numbers. (AM-16)

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