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- W4233424473 abstract "Synopsis Our basic theorem is a version of the implicit function theorem in the case of continuous groups of symmetries. The result is sufficiently general to cover a great many applications. It generalizes some earlier work of the author and corrects and improves some work of Vanderbauwhede. We also consider the breaking of symmetries problem and the variational case. Finally, we apply our results to study the periodic solutions of an ordinary differential equation." @default.
- W4233424473 created "2022-05-12" @default.
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- W4233424473 date "1982-01-01" @default.
- W4233424473 modified "2023-09-23" @default.
- W4233424473 title "The <i>G</i>-invariant implicit function theorem in infinite dimensions" @default.
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- W4233424473 doi "https://doi.org/10.1017/s0308210500019909" @default.
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