Critical point theory for perturbations of symmetric functionals
Copyright policy )Critical point theory for perturbations of symmetric functionals
The author gives conditions on the existence of infinitely many critical points for functionals which are not invariant relative to transformation groups \(G\). On the basis of the notions of absolute and relative versions of the \(G\)-capacity, a general critical point theorem for perturbations of symmetric functions on a Banach manifold is proved with applications for problems with constraints.
- DigiZeitschriften Germany
- National Autonomous University of Mexico Mexico
510.mathematics, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Article, mountain pass theorem, critical points for functionals, perturbed \(G\)-symmetries
510.mathematics, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Article, mountain pass theorem, critical points for functionals, perturbed \(G\)-symmetries
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