A lower bound for eigenvalues of a clamped plate problem

TL;DR

This paper establishes a new lower bound for the eigenvalues of the clamped plate problem, improving upon previous results and contributing to the spectral theory of differential operators.

Contribution

It provides a novel lower bound for eigenvalues of the clamped plate problem, enhancing the understanding of spectral estimates in this area.

Findings

Derived a new lower bound for eigenvalues

Improved upon previous results by Levine and Protter

Contributes to spectral theory of differential operators

Abstract

In this paper, we study eigenvalues of a clamped plate problem. We obtain a lower bound for eigenvalues, which gives an important improvement of results due to Levine and Protter.