An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams
DOI10.1051/cocv/2021038zbMath1467.49032arXiv2011.08760OpenAlexW3154401263MaRDI QIDQ4999564
Aldo Pratelli, Giusseppe Buttazzo
Publication date: 7 July 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.08760
principal eigenvaluetorsional rigiditycontinuous Steiner symmetrizationBlaschke-Santaló diagrams0886.49010
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) Inequalities involving derivatives and differential and integral operators (26D10) Variational methods for eigenvalues of operators (49R05)
Related Items (4)
Cites Work
- On Pólya's inequality for torsional rigidity and first Dirichlet eigenvalue
- Rearrangements and convexity of level sets in PDE
- Comparison results for elliptic and parabolic equations via symmetrization: A new approach
- Continuous rearrangement and symmetry of solutions of elliptic problems
- Stability for the Dirichlet problem under continuous Steiner symmetrization
- A general rearrangement inequality for multiple integrals
- Some inequalities involving perimeter and torsional rigidity
- Variational methods in shape optimization problems
- Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity
- On The Attainable Eigenvalues of the Laplace Operator
- Continuous Steiner‐Symmetrization
- On capacity and torsional rigidity
- On torsional rigidity and principal frequencies: an invitation to the Kohler−Jobin rearrangement technique
- Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue
This page was built for publication: An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams
