Counting nodal domains in Riemannian manifolds

DOI10.1007/s10455-013-9408-7zbMath1296.58018OpenAlexW2017129019WikidataQ115384585 ScholiaQ115384585MaRDI QIDQ2249603

Harold Donnelly

Publication date: 2 July 2014

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-013-9408-7

zbMATH Keywords

Riemannian manifoldLaplaciannodal domain

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions ⋮ On Pleijel's nodal domain theorem for the Robin problem ⋮ Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in ℝ²

Cites Work

• Unnamed Item
• The sharp quantitative isoperimetric inequality
• Inégalités isopérimétriques et applications
• Stability estimates for certain Faber-Krahn,isocapacitary and Cheeger inequalities

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