Symmetry breaking of solutions of non-cooperative elliptic systems

In this article we study the symmetry breaking phenomenon of solutions of non-cooperative elliptic systems. We apply the degree for G-invariant strongly indefinite functionals to obtain simultaneously a symmetry breaking and a global bifurcation phenomenon.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2013-12, Vol.408 (2), p.681-693
Main Author: Stefaniak, Piotr
Format: Article
Language:English
Subjects:
Equivariant degree
Non-cooperative elliptic system
Symmetry breaking
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Description
Summary:In this article we study the symmetry breaking phenomenon of solutions of non-cooperative elliptic systems. We apply the degree for G-invariant strongly indefinite functionals to obtain simultaneously a symmetry breaking and a global bifurcation phenomenon.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2013.06.044