Symmetry breaking solutions of nonlinear elliptic systems

被引：21
|
作者：
Bracho, J
Clapp, M
Marzantowicz, W
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, Poznan, Poland
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2005年 / 26卷 / 01期
关键词：
variational elliptic systems; symmetry breaking;
D O I：
10.12775/TMNA.2005.030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider nonlinear elliptic systems with Dirichlet boundary condition on a bounded domain in R-N which is invariant with respect to the action of some group G of orthogonal transformations. For every subgroup K of G we give a, simple criterion for the existence of infinitely many solutions which are K-invariant but not G-invariant. We include a detailed discussion of the case N = 3.
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页码：189 / 201
页数：13
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