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.

引用

页码：817 / 826

页数：10

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