Calculus of Variations and Geometric Measure Theory

L. Brasco - G. De Philippis

Spectral inequalities in quantitative form

created by brasco on 16 Apr 2016
modified by dephilipp on 30 Oct 2017


Book Chapter

Inserted: 16 apr 2016
Last Updated: 30 oct 2017

Pages: 71
Year: 2016

ArXiv: 1604.05072 PDF

This is a chapter of the forthcoming book "Shape Optimization and Spectral Theory", edited by Antoine Henrot and published by De Gruyter.

Links: Published version


We review some results about quantitative improvements of sharp inequalities for eigenvalues of the Laplacian.

Keywords: Stability of eigenvalues, Szego-Weinberger, Torsional rigidity, Faber-Krahn, Brock-Weinstock, Hong-Krahn-Szego, harmonic radius, Ashbaugh-Benguria