Spectral inequalities in quantitative form
Lorenzo Brasco, Guido De Philippis
TL;DR
This paper reviews recent quantitative improvements of sharp inequalities related to Laplacian eigenvalues, highlighting advances in understanding spectral properties of differential operators.
Contribution
It provides a comprehensive review of recent results that quantitatively refine classical inequalities for Laplacian eigenvalues.
Findings
Quantitative bounds for Laplacian eigenvalues
Improved inequalities with explicit constants
Enhanced understanding of spectral inequalities
Abstract
We review some results about quantitative improvements of sharp inequalities for eigenvalues of the Laplacian.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Nonlinear Partial Differential Equations · Matrix Theory and Algorithms