On the Cheeger inequality for convex sets
From MaRDI portal
Publication:2050906
DOI10.1016/j.jmaa.2021.125443zbMath1477.52013OpenAlexW3099270838MaRDI QIDQ2050906
Publication date: 1 September 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125443
convex setsCheeger constantcomplete systems of inequalitiesBlaschke-Santaló diagramssharp spectral inequalities
Related Items
On a Pólya's inequality for planar convex sets ⋮ Behaviour of inradius, circumradius, and diameter in generalized Minkowski spaces ⋮ Convex duality for principal frequencies ⋮ Optimization of the anisotropic Cheeger constant with respect to the anisotropy ⋮ Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains ⋮ On a class of Cheeger inequalities ⋮ Isoperimetric sets and \(p\)-Cheeger sets are in bijection ⋮ Cheeger sets for rotationally symmetric planar convex bodies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sur la frequence fondamentale d'une membrane vibrante: evaluations par defaut et principe de maximum
- Shape variation and optimization. A geometrical analysis
- Optimizing the perimeter and the area of convex sets with fixed diameter and circumradius
- Optimizing area and perimeter of convex sets for fixed circumradius and inradius
- On principal frequencies, volume and inradius in convex sets
- Characterization of Cheeger sets for convex subsets of the plane
- Sharp bounds for eigenvalues of triangles
- Is There a Planar Convex Set with Given Width, Diameter, and Inradius?
- On a Shape Derivative Formula in the Brunn--Minkowski Theory
- Reverse Cheeger inequality for planar convex sets
- Bounds for the First Eigenvalue of a Rhombic Membrane
- New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions
- Bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals
- A Lower Bound for the Fundamental Frequency of a Convex Region
- La formule de Steiner pour les érosions
- On capacity and torsional rigidity
- Shape derivative of the Cheeger constant
- 7 Spectral inequalities in quantitative form
- Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue