Eigenvalues of the Laplacian on balls with spherically symmetric metrics

DOI10.1007/s13324-022-00772-9OpenAlexW4313649118WikidataQ122904384 ScholiaQ122904384MaRDI QIDQ2112432

Stine Marie Berge

Publication date: 11 January 2023

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

Full work available at URL: https://arxiv.org/abs/2203.11911

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Scaling inequalities for spherical and hyperbolic eigenvalues

Cites Work

• Eigenvalue comparison theorems and its geometric applications
• The spectrum of geodesic balls on spherically symmetric manifolds
• Perturbation theory for linear operators.
• Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold
• Upper and lower bounds for eigenvalues of the Laplacian on a spherical cap
• Riemannian Geometry
• Lower bounds for the first Dirichlet eigenvalue of the Laplacian for domains in hyperbolic space
• A note on eigenvalue bounds for non‐compact manifolds
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