THE OPTIMAL UPPER BOUND FOR THE FIRST EIGENVALUE OF THE FOURTH ORDER EQUATION

被引：5

作者：

Meng, Gang ^{[1
]}

机构：

[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Eigenvalue; the fourth order equation; integrable potential; maximization problem; optimal upper bound; EXTREMAL PROBLEMS;

D O I：

10.3934/dcds.2017276

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we will give the optimal upper bound for the first eigenvalue of the fourth order equation with integrable potentials when the L-1 norm of potentials is known. Combining with the results for the corresponding optimal lower bound problem in [12], we have completely obtained the optimal estimation for the first eigenvalue of the fourth order equation.

引用

页码：6369 / 6382

页数：14

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