On the eigenvalues and the torsional rigidities of regular Reuleaux polygons

DOI10.1007/s00025-020-01204-5zbMath1440.52003OpenAlexW3025089166MaRDI QIDQ2187822

G. A. Philippin

Publication date: 3 June 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01204-5

zbMATH Keywords

Laplaciantorsional rigidityfirst Dirichlet eigenvaluesregular Reuleaux polygons

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Convex sets in (2) dimensions (including convex curves) (52A10)

Cites Work

• Some extremal problems for circular polygons
• Minimization of the Eigenvalues of the Dirichlet-Laplacian with a Diameter Constraint
• Torsional rigidity, principal frequency, electrostatic capacity and symmetrization
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the eigenvalues and the torsional rigidities of regular Reuleaux polygons