A multiplicity theorem for Fréchet spaces
DOI:
https://doi.org/10.15407/dopovidi2022.05.010Keywords:
Fréchet space s, Lyusternik—Schnirelmann category, Palais—Smale condition, discrete group actionAbstract
This note serves to announce a multiplicity result for Keller C1c -functionals on Fréchet spaces which are invariant under the action of a discrete subgroup. For such functionals, we evaluate the minimal number of critical points by applying the Lyusternik—Schnirelmann category.
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