A sharp isoperimetric inequality for the second eigenvalue of the Robin plate
From MaRDI portal
Publication:2080323
DOI10.4171/JST/413zbMath1498.35369arXiv2010.10576MaRDI QIDQ2080323
Jeffrey J. Langford, Laura Mercredi Chasman
Publication date: 7 October 2022
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.10576
Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items
PDE comparison principles for Robin problems, An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An isoperimetric inequality for fundamental tones of free plates
- The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
- A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
- Partial differential equations. I: Basic theory
- On the first eigenvalue of a fourth order Steklov problem
- On the first eigenvalue of the clamped plate
- On the stability of some isoperimetric inequalities for the fundamental tones of free plates
- Rayleigh's conjecture on the principal frequency of the clamped plate
- On Rayleigh's conjecture for the clamped plate and its generalization to three dimensions
- A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter
- The first Robin eigenvalue with negative boundary parameter
- On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue
- Bounds and extremal domains for Robin eigenvalues with negative boundary parameter
- A Faber-Krahn inequality for Robin problems in any space dimension
- On the Eigenvalues of a Biharmonic Steklov Problem
- An isoperimetric inequality for fundamental tones of free plates with nonzero Poisson’s ratio
- Vibrational modes of circular free plates under tension
- Remarks on strongly elliptic partial differential equations
- From Steklov to Neumann and Beyond, via Robin: The Szegő Way
- On an Isoperimetric Inequality for the First Eigenvalue of a Boundary Value Problem
- Bounds and Monotonicities for the Zeros of Derivatives of Ultraspherical Bessel Functions
- From Neumann to Steklov and beyond, via Robin: The Weinberger way
- The Bilaplacian with Robin Boundary Conditions
- Robin spectrum: two disks maximize the third eigenvalue
