Upper and lower bounds for eigenvalues of the clamped plate problem

TL;DR

This paper provides improved bounds for the eigenvalues of the clamped plate problem, including a sharp upper bound and an enhanced lower bound, advancing the understanding of eigenvalue estimates in this context.

Contribution

The paper introduces a sharper upper bound and improves the existing lower bound for eigenvalues of the clamped plate problem.

Findings

Established a sharp upper bound for eigenvalues.

Improved the lower bound for eigenvalues from previous results.

Enhanced the theoretical understanding of eigenvalue estimates.

Abstract

In this paper, we study estimates for eigenvalues of the clamped plate problem. A sharp upper bound for eigenvalues is given and the lower bound for eigenvalues in [10] is improved.