Steklov Eigenvalues of Nearly Spherical Domains

DOI10.1137/21M1411925zbMath1496.35262arXiv2104.03380OpenAlexW3145048047WikidataQ114074055 ScholiaQ114074055MaRDI QIDQ5081093

Braxton Osting, Robert Viator

Publication date: 1 June 2022

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.03380

zbMATH Keywords

perturbation theoryisoperimetric inequalitySteklov eigenvalues

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (1)

Analyticity of Steklov eigenvalues of nearly hyperspherical domains in \(\mathbb{R}^{d+1}\)

Uses Software

• Wolfram Functions Site

Cites Work

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• Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
• Optimal fiber configurations for maximum torsional rigidity
• Optimization of Steklov-Neumann eigenvalues
• Analyticity of Steklov eigenvalues of nearly circular and nearly spherical domains
• Spectral geometry of the Steklov problem (survey article)
• Stekloff Eigenvalues in Inverse Scattering
• The Second Stekloff Eigenvalue and Energy Dissipation Inequalities for Functionals with Surface Energy
• Steklov eigenvalues of reflection-symmetric nearly circular planar domains
• Computational Methods for Extremal Steklov Problems
• Optimal Shapes Maximizing the Steklov Eigenvalues

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