Sharp Steklov upper bound for submanifolds of revolution

DOI10.1007/s12220-021-00678-1zbMath1482.35142arXiv2009.07261OpenAlexW3161855808MaRDI QIDQ2238548

Sheela Verma, Bruno Colbois

Publication date: 1 November 2021

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

Full work available at URL: https://arxiv.org/abs/2009.07261

zbMATH Keywords

Euclidean spaceSteklov problemsharp upper boundsubmanifold of revolution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral theory; eigenvalue problems on manifolds (58C40) PDEs on manifolds (35R01)

Related Items (5)

Tubular excision and Steklov eigenvalues ⋮ 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 ⋮ On the spectra of three Steklov eigenvalue problems on warped product manifolds

Cites Work

• Bounds for the Steklov eigenvalues
• Weyl-type bounds for Steklov eigenvalues
• Comparison of Steklov eigenvalues on a domain and Laplacian eigenvalues on its boundary in Riemannian manifolds
• The Steklov and Laplacian spectra of Riemannian manifolds with boundary
• Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space
• Shape optimization for the Steklov problem in higher dimensions
• Spectre du laplacien et écrasement d'anses
• Compact manifolds with fixed boundary and large Steklov eigenvalues
• Unnamed Item

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