Comparison of Steklov eigenvalues on a domain and Laplacian eigenvalues on its boundary in Riemannian manifolds

DOI10.1016/j.jfa.2018.09.012zbMath1401.35225arXiv1704.02073OpenAlexW2962802576WikidataQ129159796 ScholiaQ129159796MaRDI QIDQ1800361

Changwei Xiong

Publication date: 23 October 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02073

zbMATH Keywords

Riemannian manifoldLaplacian eigenvalueSteklov eigenvalueWeyl eigenvalue asymptotics

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (13)

The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript ⋮ Bounds for the Steklov eigenvalues ⋮ Isoperimetric bounds for lower-order eigenvalues ⋮ Sharp bounds for Steklov eigenvalues on star-shaped domains ⋮ The upper bound of the harmonic mean of the Steklov eigenvalues in curved spaces ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index ⋮ Sharp Steklov upper bound for submanifolds of revolution ⋮ A note on Kuttler-Sigillito's inequalities ⋮ The Steklov and Laplacian spectra of Riemannian manifolds with boundary ⋮ Large Steklov eigenvalues via homogenisation on manifolds ⋮ Compact manifolds with fixed boundary and large Steklov eigenvalues ⋮ On the spectra of three Steklov eigenvalue problems on warped product manifolds

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