Some examples on solution structures for weakly nonlinear elliptic equations

被引：0
|
作者：
Dancer, EN [1 ]
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 12卷 / 05期
关键词：
global solution structures; simple bifurcations; general domains;
D O I：
10.3934/dcds.2005.12.817
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss bifurcation problems for weakly nonlinear elliptic elliptic equations involving a pth power term where p is larger than 1 but close to 1. We show that in a number of cases one can obtain rather complete information about the structure of the set of positive solutions. These results apply to any bounded domain.
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页码：817 / 826
页数：10
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