The lower bounds of the first eigenvalues for the biharmonic operator on manifolds

Journal of inequalities and applications

Liuwei Zhang¹ 

关键词: biharmonic operator;    buckling problem;    clamped plate problem;    eigenvalues;    lower bounds;    35P15;    53C20;   

DOI  :  10.1186/s13660-015-0948-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the lower bounds of the first eigenvalues for the biharmonic operator eigenvalue problems (buckling problem and clamped plate problem) on manifolds.

【 授权许可】

CC BY