An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain
DOI10.1016/j.jde.2022.11.016zbMath1504.35203arXiv2206.11537OpenAlexW4310117777MaRDI QIDQ2106554
Publication date: 16 December 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.11537
isoperimetric inequalityRobin boundary conditionmin-max principlebi-Laplacianparallel coordinatesplanar exterior domain
Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15)
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
- Boundary integral equations
- On the first eigenvalue of the clamped plate
- Perturbation theory for linear operators.
- 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 isoperimetric inequality for the second eigenvalue of the Robin plate
- Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions
- A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter
- The first Robin eigenvalue with negative boundary parameter
- Bounds and extremal domains for Robin eigenvalues with negative boundary parameter
- A Faber-Krahn inequality for Robin problems in any space dimension
- From Steklov to Neumann and Beyond, via Robin: The Szegő Way
- On an Isoperimetric Inequality for the First Eigenvalue of a Boundary Value Problem
- Introduction to Riemannian Manifolds
- Optimisation of the lowest Robin eigenvalue in the exterior of a compact set
- From Neumann to Steklov and beyond, via Robin: The Weinberger way
- The Bilaplacian with Robin Boundary Conditions
- Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces
- Convergence of Schrödinger Operators
- Boundary pairs associated with quadratic forms
- Spectral optimization for Robin Laplacian on domains admitting parallel coordinates
This page was built for publication: An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain