Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue
From MaRDI portal
Publication:5024342
DOI10.1051/cocv/2021109OpenAlexW4200544979WikidataQ114011510 ScholiaQ114011510MaRDI QIDQ5024342
Publication date: 31 January 2022
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2021109
Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Inequalities for sums, series and integrals (26D15)
Related Items (5)
On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content ⋮ Asymptotic properties of an optimal principal eigenvalue with spherical weight and Dirichlet boundary conditions ⋮ On a Steklov-Robin eigenvalue problem ⋮ An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole ⋮ Some recent developments on the Steklov eigenvalue problem
Cites Work
- Two functionals connected to the Laplacian in a class of doubly connected domains on rank one symmetric spaces of non-compact type
- On the extrema of Dirichlet's first eigenvalue of a family of punctured regular polygons in two dimensional space forms
- Some isoperimetric inequalities for membrane frequencies and torsional rigidity
- Where to place a spherical obstacle so as to maximize the second Dirichlet eigenvalue
- Best constants in Sobolev trace inequalities
- On maximizing the fundamental frequency of the complement of an obstacle
- On two functionals connected to the Laplacian in a class of doubly connected domains in space-forms
- Internal stabilizability for a reaction-diffusion problem modeling a predator--prey system
- A sharp upper bound for the torsional rigidity of rods by means of web functions
- A quantitative Weinstock inequality for convex sets
- Weinstock inequality in higher dimensions
- On the first Steklov-Dirichlet eigenvalue for eccentric annuli
- On eigenvalue problems related to the Laplacian in a class of doubly connected domains
- Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems
- On reverse Faber-Krahn inequalities
- Spectral geometry of the Steklov problem (survey article)
- Shape optimization for the Steklov problem in higher dimensions
- A stability result for the Steklov Laplacian eigenvalue problem with a spherical obstacle
- A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue
- Harmonic Function Theory
- On the Placement of an Obstacle or a Well so as to Optimize the Fundamental Eigenvalue
- On the Placement of an Obstacle So As to Optimize the Dirichlet Heat Trace
- Geometrical Structure of Laplacian Eigenfunctions
- Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle
- Regularity of the Free Boundary in an Optimization Problem Related to the Best Sobolev Trace Constant
- The best Sobolev trace constant in domains with holes for critical or subcritical exponents
- Extremal First Dirichlet Eigenvalue of Doubly Connected Plane Domains and Dihedral Symmetry
- Interesting Series Involving the Central Binomial Coefficient
- Inequalities for the minimal eigenvalue of the laplacian in an annulus
- On two functionals connected to the Laplacian in a class of doubly connected domains
- On the Nodal set of a second Dirichlet eigenfunction in a doubly connected domain
- On the strict monotonicity of the first eigenvalue of the 𝑝-Laplacian on annuli
- Stability and instability issues of the Weinstock inequality
- An eigenvalue optimization problem for the p-Laplacian
- Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue
