In this paper we prove a multiplicity result for critical points of an indefinite functional on a manifold by using a generalization of the Ljusternik-Schnirelman category. The abstract result is applied to prove the existence of multiple timelike trajectories for Lorentzian manifolds of splitting type
Multiple critical points for indefinite functionals and applications
Masiello, A.
1999-01-01
Abstract
In this paper we prove a multiplicity result for critical points of an indefinite functional on a manifold by using a generalization of the Ljusternik-Schnirelman category. The abstract result is applied to prove the existence of multiple timelike trajectories for Lorentzian manifolds of splitting typeFile in questo prodotto:
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