Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity
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Publication:3466787
DOI10.1007/978-3-319-17563-8_2zbMath1329.49095arXiv1403.0114OpenAlexW2117154758MaRDI QIDQ3466787
Bozhidar Velichkov, Giusseppe Buttazzo, Michiel van den Berg
Publication date: 25 January 2016
Published in: New Trends in Shape Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.0114
Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)
Related Items (15)
On a Pólya's inequality for planar convex sets ⋮ Sharp estimates for the anisotropic torsional rigidity and the principal frequency ⋮ Torsional rigidity and Bergman analytic content of simply connected regions ⋮ First Dirichlet eigenvalue and exit time moments: a survey ⋮ Torsional Rigidity in Random Walk Spaces ⋮ Comparison results, exit time moments, and eigenvalues on Riemannian manifolds with a lower Ricci curvature bound ⋮ On two functionals involving the maximum of the torsion function ⋮ On Pólya's inequality for torsional rigidity and first Dirichlet eigenvalue ⋮ On functionals involving the torsional rigidity related to some classes of nonlinear operators ⋮ 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 relations between principal eigenvalue and torsional rigidity ⋮ Dirichlet eigenvalues and exit time moments for symmetric Markov processes ⋮ Inequalities between torsional rigidity and principal eigenvalue of the \(p\)-Laplacian ⋮ On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue
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