Principal eigenvalue for weight matrix in elliptic systems

被引：28
|
作者：
Chang, KC [1 ]
机构：
[1] Beijing Univ, Inst Math, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 46卷 / 03期
基金：
中国国家自然科学基金;
关键词：
maximum principle; cooperative; M-matrix; positive solutions; principal eigenvalue;
D O I：
10.1016/S0362-546X(00)00140-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An extension of the Hess-Kato Theorem on elliptic systems was studied in the bounded open domain with smooth boundaries. Principal eigen values of the second order uniformly elliptic operator Dk with continuous coefficients were derived. The assumptions necessary for the existence of the operators were proved and a bifurcation point for positive solutions was obtained. An application of the abstract theorem was proved for bifurcation at infinity.
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页码：419 / 433
页数：15
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