New Universal Inequalities for Eigenvalues of a Clamped Plate Problem

In this paper, we study the universal inequalities for eigenvalues of a clamped plate problem, and establish some new universal inequalities that are different from those already present in the literature, such as (Wang and Xia J. Funct. Anal. 245(1), 334-352 2007), (Wang and Xia Calc. Var. Partial Differential 653 Equations 40(1-2), 273-289 2011), (Chen, Zheng, and Lu Pacific J. Math. 255(1), 41-54 2012), and so on. In particular, our results can reveal the relationship between the \((k+1)\) $(k+1)$ -th eigenvalue and the first k eigenvalues relatively quickly.