Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds

DOI10.1353/ajm.2013.0028zbMath1280.58018arXiv1105.4343OpenAlexW2080590669WikidataQ115238773 ScholiaQ115238773MaRDI QIDQ2851612

Andrea Cianchi, Vladimir Gilelevich Maz'ya

Publication date: 14 October 2013

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4343

zbMATH Keywords

eigenvalue estimateisoperimetric function\(L^\infty\) eigenfunction bound\(L^q\) eigenfunction boundisocapacity functionmanifolds of revolution

Mathematics Subject Classification ID

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

Related Items (9)

Eigenfunctions of the Laplace operator and harmonic functions on model Riemannian manifolds ⋮ Sobolev embeddings into Orlicz spaces and isocapacitary inequalities ⋮ Quasilinear elliptic equations on noncompact Riemannian manifolds ⋮ Bounds for eigenfunctions of the Neumann \(p\)-Laplacian on noncompact Riemannian manifolds ⋮ Superdiffusive fractional in time Schrödinger equations: a unifying approach to superdiffusive waves ⋮ Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions ⋮ Large values of cusp forms on \(\mathrm{GL}_n\) ⋮ 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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