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

doi:10.1186/s13661-018-1110-z

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	Optimal lower bound for the first eigenvalue of fourth order measure differential equation
	Lijuan,Zhou 1; Gang,Meng 2
	2018-12-12
Source Publication	Boundary Value Problems
ISSN	1687-2770
Volume	2018 Issue:1
Abstract	AbstractIn 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 the fourth order measure differential equation and find the explicit optimal lower bound for the first eigenvalue. As an application, we will find the explicit optimal lower bound for the first eigenvalue of a vibrating beam which represents the smallest axial compressive force necessary to cause the beam to buckle.
Keyword	Eigenvalue Fourth order equation Minimization problem Optimal lower bound
DOI	10.1186/s13661-018-1110-z
Language	英语
WOS ID	BMC:10.1186/s13661-018-1110-z
Publisher	Springer International Publishing
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/31500
Collection	中国科学院数学与系统科学研究院
Corresponding Author	Lijuan,Zhou
Affiliation	1. 2.
Recommended Citation GB/T 7714	Lijuan,Zhou,Gang,Meng. Optimal lower bound for the first eigenvalue of fourth order measure differential equation[J]. Boundary Value Problems,2018,2018(1).
APA	Lijuan,Zhou,&Gang,Meng.(2018).Optimal lower bound for the first eigenvalue of fourth order measure differential equation.Boundary Value Problems,2018(1).
MLA	Lijuan,Zhou,et al."Optimal lower bound for the first eigenvalue of fourth order measure differential equation".Boundary Value Problems 2018.1(2018).

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