Book Chapter

Inserted: 16 apr 2016
Last Updated: 30 oct 2017

Pages: 71
Year: 2016

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

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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• chapter_stability_alt.pdf