On Perturbations of Z sub 2 Symmetric Functionals.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Let E be a real Banach space and I epsilon C squared E,R. Such functionals which are invariant under a group of symmetries and satisfy further technical assumptions possess multiple critical points other than those due to the symmetry itself. This paper studies the question of what happens when the functional is subjected to a small perturbation which destroys the symmetry. Keywords Critical value Index Theory, Minimax.
- Theoretical Mathematics