Some inequalities involving perimeter and torsional rigidity
From MaRDI portal
Publication:2234304
DOI10.1007/s00245-020-09727-7zbMath1475.49049arXiv2007.02549OpenAlexW3093890280MaRDI QIDQ2234304
Luca Briani, Francesca Prinari, Giusseppe Buttazzo
Publication date: 19 October 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.02549
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)
Related Items
A comparison principle for the Lane-Emden equation and applications to geometric estimates ⋮ A shape optimization problem on planar sets with prescribed topology ⋮ Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains ⋮ On some variational problems involving capacity, torsional rigidity, perimeter and measure ⋮ Sharp and quantitative estimates for the \(p\)-torsion of convex sets ⋮ Torsional Rigidity in Random Walk Spaces ⋮ An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Pólya's inequality for torsional rigidity and first Dirichlet eigenvalue
- On an isoperimetric inequality for capacity conjectured by Pólya and Szegő
- Asymptotics for the expected lifetime of Brownian motion on thin domains in \(\mathbb R^n\)
- Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. I. Premiere partie: une demonstration de la conjecture isoperimetrique \(P\lambda^2\geq\pi j^4_0/2\) de Polya et Szegö
- Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. II. Seconde partie: cas inhomogene: une inégalité isoperimetrique entre la frequence fondamentale d'une membrane et l'energie d'équilibre d'un problème de Poisson
- On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue
- Variational methods in shape optimization problems
- Sharp estimates for the anisotropic torsional rigidity and the principal frequency
- Variation and optimization of formes. A geometric analysis
- Integral inequalities for generalized concave or convex functions
- On a long-standing conjecture by Pólya-Szegö and related topics
- Sharp Bounds for the p-Torsion of Convex Planar Domains
- Affine inequalities and radial mean bodies
- On capacity and torsional rigidity
- Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators
- On torsional rigidity and principal frequencies: an invitation to the Kohler−Jobin rearrangement technique
- Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue
