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

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

Abstract 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.

Bibliographic Details
Main Authors: Liuwei Zhang, Yan Zhao
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of Inequalities and Applications
Subjects:
biharmonic operator
buckling problem
clamped plate problem
eigenvalues
lower bounds
Online Access:http://link.springer.com/article/10.1186/s13660-015-0948-1

Internet

http://link.springer.com/article/10.1186/s13660-015-0948-1

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