On some variational problems involving capacity, torsional rigidity, perimeter and measure
From MaRDI portal
Publication:6077517
DOI10.1515/acv-2021-0076arXiv2109.04915OpenAlexW3200092937WikidataQ114007276 ScholiaQ114007276MaRDI QIDQ6077517
Andrea Malchiodi, Michiel van den Berg
Publication date: 18 October 2023
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.04915
Variational inequalities (49J40) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Elliptic equations and elliptic systems (35J99)
Cites Work
- Unnamed Item
- 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
- Regularity of minimizers of shape optimization problems involving perimeter
- On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue
- A shape optimization problem on planar sets with prescribed topology
- Some inequalities involving perimeter and torsional rigidity
- Variational methods in shape optimization problems
- On capacity and torsional rigidity
- On relations between principal eigenvalue and torsional rigidity
- 7 Spectral inequalities in quantitative form
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue