Bifurcation from trivial solution for elliptic systems with nonlinear boundary conditions

被引：1

作者：

Zhang, Yang ^{[1
]}

Wang, Mingxin ^{[2
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150080, Peoples R China

[2] Harbin Inst Technol, Nat Sci Res Ctr, Harbin 150080, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 07期

关键词：

35J55; 35B32; 35B35; 35J65; bifurcation; elliptic systems; nonlinear boundary conditions; stability; DIFFUSIVE LOGISTIC EQUATIONS; GLOBAL BIFURCATION;

D O I：

10.1080/17476933.2014.985216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate semilinear elliptic systems having a parameter with nonlinear Neumann boundary conditions over a smooth bounded domain. The objective of our study is to analyse bifurcation component of positive solutions from trivial solution and their stability. The results are obtained via classical bifurcation theorem from a simple eigenvalue, by studying the eigenvalue problem of elliptic systems.

引用

页码：951 / 967

页数：17

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