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.

引用

页码：189 / 201

页数：13

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