On principal frequencies and isoperimetric ratios in convex sets

DOI10.5802/afst.1653zbMath1454.35242arXiv1806.08947OpenAlexW3113021903MaRDI QIDQ2214734

Lorenzo Brasco

Publication date: 10 December 2020

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08947

zbMATH Keywords

shape optimizationCheeger constant\(p\)-LaplacianBuser's inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Degenerate elliptic equations (35J70)

Related Items (10)

A comparison principle for the Lane-Emden equation and applications to geometric estimates ⋮ The monotonicity of the \(p\)-torsional rigidity in convex domains ⋮ Convex duality for principal frequencies ⋮ Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case ⋮ Optimization of the anisotropic Cheeger constant with respect to the anisotropy ⋮ Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains ⋮ Sharp and quantitative estimates for the \(p\)-torsion of convex sets ⋮ On a class of Cheeger inequalities ⋮ Blaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet Eigenvalue ⋮ A non-local semilinear eigenvalue problem

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