 95478 G. Gaeta
 Counting symmetry breaking solutions to symmetric variational problems
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Nov 13, 95

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Abstract. By combining the Michel's geometric theory of symmetry breaking and classical
result from variational analysis, we obtain a lower bound on critical
points with
given symmetry $H \sse G$ of a potential symmetric under $G$. The result is
obtained
by applying LjusternikSchnirelman category in the group orbit space, and can be
extendeded along the same lines to more general situations.
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95478.tex