Eigenvalue variations for the Neumann problem

DOI10.1016/S0893-9659(00)00109-9zbMath0977.58028OpenAlexW2039597049MaRDI QIDQ5938876

Daniel Z. Zanger

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00109-9

zbMATH Keywords

eigenvalue problemperturbationsLaplace operatorNeumann condition

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

The Inhomogeneous Neumann Problem in Lipschitz Domains ⋮ Sharp local estimates for the Szegő-Weinberger profile in Riemannian manifolds ⋮ Extremal domains of big volume for the first eigenvalue of the Laplace-Beltrami operator in a compact manifold ⋮ Extremal domains for the first eigenvalue of the Laplace-Beltrami operator ⋮ Critical domains for the first nonzero Neumann eigenvalue in Riemannian manifolds

Cites Work

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• Parameter and domain dependence of eigenvalues of elliptic partial differential equations
• Riemannian geometry