Bounds and extremal domains for Robin eigenvalues with negative boundary parameter
From MaRDI portal
Publication:2409045
DOI10.1515/acv-2015-0045zbMath1375.35284arXiv1605.08161OpenAlexW2963137757WikidataQ125690205 ScholiaQ125690205MaRDI QIDQ2409045
David Krejčiřík, Pedro Freitas, Pedro R. S. Antunes
Publication date: 10 October 2017
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.08161
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)
Related Items
PDE comparison principles for Robin problems, Two balls maximize the third Neumann eigenvalue in hyperbolic space, On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter, Optimization of the lowest eigenvalue of a soft quantum ring, An optimization problem for finite point interaction families, Parallel coordinates in three dimensions and sharp spectral isoperimetric inequalities, Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter, The Faber-Krahn inequality for the Hermite operator with Robin boundary conditions, Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions, Spectral inequality for Dirac right triangles, Spectral geometry in a rotating frame: properties of the ground state, Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian, Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter, On the behavior of the first eigenvalue of the \(p\)-Laplacian with Robin boundary conditions as \(p\) goes to 1, Spectral optimization for Robin Laplacian on domains admitting parallel coordinates, Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle, Estimates for Robin \(p\)-Laplacian eigenvalues of convex sets with prescribed perimeter, Spectral isoperimetric inequalities for singular interactions on open arcs, New eigenvalue estimates involving Bessel functions, An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes, Effective operators for Robin eigenvalues in domains with corners, A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter, Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds, Optimisation of the lowest Robin eigenvalue in the exterior of a compact set, The Robin Laplacian—Spectral conjectures, rectangular theorems, Spectral optimization for singular Schrödinger operators, Bessel quotients and Robin eigenvalues, On the eigenvalues of the Robin Laplacian with a complex parameter, A sharp isoperimetric inequality for the second eigenvalue of the Robin plate, Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones, Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes, Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter, An isoperimetric inequality for the perturbed Robin bi-Laplacian in a planar exterior domain, The Bilaplacian with Robin Boundary Conditions, Robin spectrum: two disks maximize the third eigenvalue
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimisation of eigenvalues of the Dirichlet Laplacian with a surface area restriction
- Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces
- Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
- Some isoperimetric inequalities for membrane frequencies and torsional rigidity
- Monotonicity results for the principal eigenvalue of the generalized Robin problem
- Bounds and monotonicity for the generalized Robin problem
- Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians
- The eigenvalues of the Laplacian with Dirichlet boundary condition in \(\mathbb {R}^2\) are almost never minimized by disks
- Maximization of the second positive Neumann eigenvalue for planar domains
- The first Robin eigenvalue with negative boundary parameter
- On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue
- Eigenvalue estimates and critical temperature in zero fields for enhanced surface super\-conductivity
- A Faber-Krahn inequality for Robin problems in any space dimension
- The Method of Fundamental Solutions Applied to Some Inverse Eigenproblems
- A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains
- An isoperimetric inequality for the second eigenvalue of the Laplacian with Robin boundary conditions
- On an Isoperimetric Inequality for the First Eigenvalue of a Boundary Value Problem
- Multidimensional Reaction Diffusion Equations with Nonlinear Boundary Conditions
- Computation of Modified Bessel Functions and Their Ratios
- Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian
- Optimal spectral rectangles and lattice ellipses
- Asymptotic behaviour of optimal spectral planar domains with fixed perimeter
- On the principal eigenvalue of a Robin problem with a large parameter
- Numerical minimization of eigenmodes of a membrane with respect to the domain
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)