Bifurcation and symmetry breaking of solutions of systems of elliptic differential equations

被引：3

作者：

Kluczenko, Joanna ^{[1
]}

机构：

[1] Fac Math & Comp Sci, PL-10710 Olsztyn, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 11期

关键词：

Global bifurcations; Elliptic differential equations; Equivariant degree; Symmetry breaking; GLOBAL BIFURCATIONS; PERIODIC-SOLUTIONS; SOLUTION BRANCHES; NODAL PROPERTIES; CONTINUATION; INFINITY;

D O I：

10.1016/j.na.2012.03.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study global bifurcations of weak solutions of the following variational system of elliptic differential equations. {-Delta u = lambda Au + del(u)eta(u, lambda) in Omega u = 0 on partial derivative Omega. We prove sufficient conditions for the existence of unbounded continua of nontrivial solutions emanating from the trivial ones and necessary conditions for the existence of bounded continua. Moreover, we describe a symmetry breaking phenomenon that occurs on that continua. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：4278 / 4295

页数：18

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