Optimal lower bound for the first eigenvalue of fourth order measure differential equation

Abstract In this paper, we will find an explicit optimal lower bound for the first eigenvalue of a fourth order measure differential equation, motivated by physical problems when some physically meaningful measurement is fixed. We establish a variational characterization for the first eigenvalue of...

Full description

Bibliographic Details
Main Authors: Zhou Lijuan, Meng Gang
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1110-z