Home  /  Research  / Events
22 Maggio, 2025 15:15
Sezione di Analisi

Improving a Spectral Inequality by Payne

Carlo Nitsch, Università degli Studi di Napoli - Federico II
Sala Consiglio - VII Piano
Abstract

A celebrated inequality by Payne relates the first eigenvalue of the Dirichlet Laplacian to the first eigenvalue of the buckling problem. Motivated by the goal of establishing a quantitative version of this inequality, we show that Payne’s original estimate—which is not sharp—can in fact be improved. Our result provides a refined spectral bound and opens the way to further investigations into quantitative enhancements of classical inequalities in spectral theory.

Search by section
Search string Reset

Mathematical Seminars
in Milan and surrounding areas