The Steklov spectrum on moving domains

DOI10.1007/s00245-015-9321-5zbMath1359.49015OpenAlexW2248848340MaRDI QIDQ519872

Beniamin Bogosel

Publication date: 31 March 2017

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-015-9321-5

zbMATH Keywords

eigenvaluesshape optimizationSteklov spectrum

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (10)

Numerical calculation of extremal Steklov eigenvalues in 3D and 4D ⋮ Spectral stability of the Steklov problem ⋮ Degenerating sequences of conformal classes and the conformal Steklov spectrum ⋮ A comparison between Neumann and Steklov eigenvalues ⋮ Bulk-boundary eigenvalues for bilaplacian problems ⋮ Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces ⋮ Maximization of the Steklov Eigenvalues With a Diameter Constraint ⋮ Spectral stability for a class of fourth order Steklov problems under domain perturbations ⋮ \(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation ⋮ Stability and instability issues of the Weinstock inequality

Cites Work

• Isoperimetric control of the Steklov spectrum
• The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
• A property of Sobolev spaces and existence in optimal design
• Variational methods in shape optimization problems
• On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues
• Variation and optimization of formes. A geometric analysis
• Sets of Finite Perimeter and Geometric Variational Problems
• Shape optimization for low Neumann and Steklov eigenvalues
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Steklov spectrum on moving domains