The upper bound of the harmonic mean of the Neumann eigenvalues in curved spaces

DOI10.1016/J.GEOMPHYS.2024.105179MaRDI QIDQ6493909

Hang Chen

Publication date: 29 April 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalitiesNeumann eigenvaluesSzegö-Weinberger inequalitybounded curvaturesAshbaugh-Benguria's conjecture

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) Spectral theory; eigenvalue problems on manifolds (58C40) PDEs on manifolds (35R01)

Cites Work

• A sharp estimate for Neumann eigenvalues of the Laplace–Beltrami operator for domains in a hemisphere

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