A comparison between Neumann and Steklov eigenvalues
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Publication:6111642
DOI10.4171/jst/429zbMath1520.35108arXiv2107.10075MaRDI QIDQ6111642
Antoine Henrot, Marco Michetti
Publication date: 4 August 2023
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.10075
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)
Cites Work
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- The Steklov spectrum on moving domains
- An optimal Poincaré inequality for convex domains
- A class of isoperimetric inequalities
- Eigenvalue comparison theorems and its geometric applications
- On the ``hot spots conjecture of J. Rauch
- Shape variation and optimization. A geometrical analysis
- Location of hot spots in thin curved strips
- On spectral theory of elliptic operators
- A note on Kuttler-Sigillito's inequalities
- \(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation
- On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue
- From Steklov to Neumann via homogenisation
- Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems
- Characterization of Cheeger sets for convex subsets of the plane
- Inequalities for membrane and Stekloff eigenvalues
- Is There a Planar Convex Set with Given Width, Diameter, and Inradius?
- Viewing the Steklov Eigenvalues of the Laplace Operator as Critical Neumann Eigenvalues
- On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian
- Ungleichungen für Umfang, Flächeninhalt und Trägheitsmoment konvexer Kurven
- Convex Functions and Fourier Coefficients
- On The Attainable Eigenvalues of the Laplace Operator
- Stability and instability issues of the Weinstock inequality
- Asymptotic behaviour of the Steklov spectrum on dumbbell domains
- On relations between principal eigenvalue and torsional rigidity
- An isoperimetric sloshing problem
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