Symmetry breaking solutions of nonlinear elliptic systems
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Variational elliptic systems, symmetry breakingAbstrakt
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 $N=3$.Pobrania
Opublikowane
2005-09-01
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1.
BRACHO, Javier, CLAPP, Mónica & MARZANTOWICZ, Wacław. Symmetry breaking solutions of nonlinear elliptic systems. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2005, T. 26, nr 1, s. 189–201. [udostępniono 22.7.2024].
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