Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space

DOI10.1007/s12220-018-0063-xzbMath1423.35273arXiv1711.06458OpenAlexW2962880948WikidataQ126209769 ScholiaQ126209769MaRDI QIDQ2421243

Bruno Colbois, Katie Gittins, Alexandre Girouard

Publication date: 14 June 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06458

zbMATH Keywords

manifoldsEuclidean spaceSteklov problemhypersurfaces of revolutionprescribed boundary

Mathematics Subject Classification ID

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

Related Items (15)

Tubular excision and Steklov eigenvalues ⋮ Bounds for the Steklov eigenvalues ⋮ An isoperimetric inequality for the harmonic mean of the Steklov eigenvalues in hyperbolic space ⋮ Upper bounds for the Steklov eigenvalues of the p ‐Laplacian ⋮ 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 ⋮ Multiple tubular excisions and large Steklov eigenvalues ⋮ Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index ⋮ Sharp Steklov upper bound for submanifolds of revolution ⋮ The Steklov and Laplacian spectra of Riemannian manifolds with boundary ⋮ Steklov and Robin isospectral manifolds ⋮ Hypersurfaces with Prescribed Boundary and Small Steklov Eigenvalues ⋮ Conformal upper bounds for the eigenvalues of the p‐Laplacian ⋮ On the spectra of three Steklov eigenvalue problems on warped product manifolds

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