Bounds on multiplicities of Laplace operator eigenvalues on surfaces

DOI10.4171/JST/206zbMath1397.58018arXiv1511.09043OpenAlexW2962871718MaRDI QIDQ1650231

Aleksandr Berdnikov

Publication date: 2 July 2018

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09043

zbMATH Keywords

eigenvalueLaplaciannodal setSteklov eigenvalueCourant theoremBers theoremmultiplicity bounds

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs on manifolds (35R01)

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