## Multiple critical points of perturbed symmetric functionals

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- by Paul H. Rabinowitz
- Trans. Amer. Math. Soc.
**272**(1982), 753-769 - DOI: https://doi.org/10.1090/S0002-9947-1982-0662065-5
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## Abstract:

Variational problems which are invariant under a group of symmetries often possess multiple solutions. This paper studies the effect of perturbations which are not small and which destroy the symmetry for two classes of such problems and shows how multiple solutions persist despite the perturbation.## References

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## Bibliographic Information

- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**272**(1982), 753-769 - MSC: Primary 35J60; Secondary 35B20, 49B50, 58E05
- DOI: https://doi.org/10.1090/S0002-9947-1982-0662065-5
- MathSciNet review: 662065