On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds

DOI10.4310/jdg/1312998232zbMath1269.58011OpenAlexW1484478872WikidataQ115170788 ScholiaQ115170788MaRDI QIDQ641028

Andrea Cianchi, Vladimir Gilelevich Maz'ya

Publication date: 21 October 2011

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1312998232

zbMATH Keywords

Laplace operatordiscrete spectrumnoncompact Riemannian manifold

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

Sobolev embeddings into Orlicz spaces and isocapacitary inequalities ⋮ Quasilinear elliptic equations on noncompact Riemannian manifolds ⋮ Harmonic functions and gravity localization ⋮ Bounds for eigenfunctions of the Neumann \(p\)-Laplacian on noncompact Riemannian manifolds ⋮ Superdiffusive fractional in time Schrödinger equations: a unifying approach to superdiffusive waves ⋮ Some remarks on the Fuglede \(p\)-modulus ⋮ On some aspects of oscillation theory and geometry ⋮ A characterization related to Schrödinger equations on Riemannian manifolds ⋮ Global gradient estimates in elliptic problems under minimal data and domain regularity

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