TY - JOUR AU - Bracho, Javier AU - Clapp, Mónica AU - Marzantowicz, Wacław PY - 2005/09/01 Y2 - 2024/03/29 TI - Symmetry breaking solutions of nonlinear elliptic systems JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 26 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2005.030 SP - 189 - 201 AB - We consider nonlinear elliptic systems with Dirichlet boundary condition ona bounded domain in $\mathbb R^{N}$ which is invariant with respect to theaction of some group $G$ of orthogonal transformations. For every subgroup $K$ of $G$ we give a simple criterion for the existence of infinitely manysolutions which are $K$-invariant but not $G$-invariant. We include a detailed discussion of the case $N=3$. ER -