Symmetry breaking solutions of nonlinear elliptic systems
Keywords
Variational elliptic systems, symmetry breakingAbstract
We consider nonlinear elliptic systems with Dirichlet boundary condition on a bounded domain in $\mathbb R^{N}$ 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 $N=3$.Downloads
Published
2005-09-01
How to Cite
1.
BRACHO, Javier, CLAPP, Mónica and MARZANTOWICZ, Wacław. Symmetry breaking solutions of nonlinear elliptic systems. Topological Methods in Nonlinear Analysis. Online. 1 September 2005. Vol. 26, no. 1, pp. 189 - 201. [Accessed 19 April 2024].
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