Some recent developments on the Steklov eigenvalue problem

DOI10.1007/s13163-023-00480-3arXiv2212.12528MaRDI QIDQ6190462

Carolyn S. Gordon, Bruno Colbois, Alexandre Girouard, David A. Sher

Publication date: 6 February 2024

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.12528

zbMATH Keywords

discretizationinverse spectral problemeigenvalue boundsSteklov eigenfunctionsSteklov spectrumfree boundary minimal surfaces

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Spectral theory; eigenvalue problems on manifolds (58C40) Isospectrality (58J53)

Related Items (1)

Weyl asymptotics for Poincaré-Steklov eigenvalues in a domain with Lipschitz boundary

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