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
收藏
页码：6369 / 6382
页数：14
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