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

页码：72 / 85

页数：14

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