Multiple tubular excisions and large Steklov eigenvalues

DOI10.1007/s10455-024-09949-warXiv2309.00128MaRDI QIDQ6204556

Jade Brisson

Publication date: 28 March 2024

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.00128

zbMATH Keywords

asymptotics of eigenvaluesspectral geometrySteklov eigenvaluestubular neighbourhood

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Elliptic equations on manifolds, general theory (58J05)

Cites Work

• Tubular excision and Steklov eigenvalues
• Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems
• Spectral geometry of the Steklov problem (survey article)
• Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space
• Spectre du laplacien et écrasement d'anses
• Compact manifolds with fixed boundary and large Steklov eigenvalues

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