Lower bounds for generalized eigenvalues of the quasilinear systems

被引：20
|
作者：
Tang, X. H. [1 ]
He, Xiaofei [1 ,2 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
[2] Jishou Univ, Coll Math & Comp Sci, Jishou 416000, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 385卷 / 01期
关键词：
Quasilinear system; Lyapunov-type inequality; Generalized eigenvalue; Lower bound; LYAPUNOV-TYPE INEQUALITY; 1ST EIGENVALUE; ASYMPTOTIC-BEHAVIOR; P-LAPLACIAN;
D O I：
10.1016/j.jmaa.2011.06.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish several new Lyapunov-type inequalities for two classes of one-dimensional quasilinear elliptic systems of resonant type, which generalize or improve all related existing ones. Then we use the Lyapunov-type inequalities obtained in this paper to derive a better lower bound for the generalized eigenvalues of the one-dimensional quasilinear elliptic system with the Dirichlet boundary conditions. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：72 / 85
页数：14
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