In this paper we prove a multiplicity result for critical points of an indefinite functional on a manifold by using a generalization of 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
CANDELA, Anna Maria;
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 Ljusternik-Schnirelman category. The abstract result is applied to prove the existence of multiple timelike trajectories for Lorentzian manifolds of splitting type.File in questo prodotto:
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