Isoperimetric inequalities of the fourth order Neumann eigenvalues

Isoperimetric inequalities of the fourth order Neumann eigenvalues

Abstract In this paper, we obtain some isoperimetric inequalities for the first ( n − 1 ) $(n-1)$ eigenvalues of the fourth order Neumann Laplacian on bounded domains in an n-dimensional Euclidean space. Our result supports strongly the conjecture of Chasman.

Bibliographic Details
Main Authors: Yanlin Deng, Feng Du
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of Inequalities and Applications
Subjects:
Eigenvalues
Neumann problem
Isoperimetric inequality
Online Access:http://link.springer.com/article/10.1186/s13660-020-02476-9

Internet

http://link.springer.com/article/10.1186/s13660-020-02476-9

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