On torsional rigidity and principal frequencies: an invitation to the Kohler−Jobin rearrangement technique
From MaRDI portal
Publication:5415369
DOI10.1051/cocv/2013065zbMath1290.35160OpenAlexW2103881581MaRDI QIDQ5415369
Publication date: 12 May 2014
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2013065
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75)
Related Items (22)
A Beautiful Inequality by Saint-Venant and Pólya Revisited ⋮ The monotonicity of the \(p\)-torsional rigidity in convex domains ⋮ A quantitative form of Faber-Krahn inequality ⋮ Sharp estimates for the anisotropic torsional rigidity and the principal frequency ⋮ Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case ⋮ LOCALIZATION FOR THE TORSION FUNCTION AND THE STRONG HARDY INEQUALITY ⋮ Some applications of the chambers isoperimetric inequality ⋮ Linear stability implies nonlinear stability for Faber-Krahn-type inequalities ⋮ Torsional Rigidity in Random Walk Spaces ⋮ Mean distance on metric graphs ⋮ Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ Second-order derivative of domain-dependent functionals along Nehari manifold trajectories ⋮ Some inequalities involving perimeter and torsional rigidity ⋮ On the \({ L}^{ p}\) norm of the torsion function ⋮ A spectral shape optimization problem with a nonlocal competing term ⋮ Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition ⋮ An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams ⋮ Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes ⋮ On torsional rigidity and ground-state energy of compact quantum graphs ⋮ On relations between principal eigenvalue and torsional rigidity ⋮ Faber-Krahn inequalities in sharp quantitative form ⋮ Inequalities between torsional rigidity and principal eigenvalue of the \(p\)-Laplacian
This page was built for publication: On torsional rigidity and principal frequencies: an invitation to the Kohler−Jobin rearrangement technique