Calculus of Variations and Geometric Measure Theory
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L. Brasco - G. De Philippis

Spectral inequalities in quantitative form

created by brasco on 16 Apr 2016
modified on 05 Jun 2017

[BibTeX]

Book Chapter

Inserted: 16 apr 2016
Last Updated: 5 jun 2017

Pages: 71
Year: 2016
Notes:

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

Abstract:

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


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