Some isoperimetric inequalities with application to the Stekloff problem

zbMath1155.26019arXiv0803.4242MaRDI QIDQ3530150

G. A. Philippin, A. Safoui, Antoine Henrot

Publication date: 15 October 2008

Full work available at URL: https://arxiv.org/abs/0803.4242

zbMATH Keywords

convex setsisoperimetric inequalitiesmoments of inertiaconvex functionsStekloff eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities for sums, series and integrals (26D15)

Related Items (12)

Isoperimetric bounds for lower-order eigenvalues ⋮ Isoperimetric Inequalities for Moments of Inertia and Stability of Stationary Motions of a Flexible Thread ⋮ Spectral optimization for the Stekloff-Laplacian: The stability issue ⋮ On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues ⋮ Upper bounds for the first non-zero Steklov eigenvalue via anisotropic mean curvatures ⋮ A Reilly inequality for the first non-zero eigenvalue of a class of operators on Riemannian manifold ⋮ Isoperimetric inequality for torsional rigidity in multidimensional domains ⋮ Shape optimization for low Neumann and Steklov eigenvalues ⋮ A Reilly inequality for the first Steklov eigenvalue ⋮ Steklov eigenvalues and quasiconformal maps of simply connected planar domains ⋮ Maximal convex combinations of sequential Steklov eigenvalues ⋮ Some inequalities involving eigenvalues of the Neumann Laplacian

This page was built for publication: Some isoperimetric inequalities with application to the Stekloff problem