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 / Candela, A. M.; Giannoni, F.; Masiello, A.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 155:1(1999), pp. 203-230. [10.1006/jdeq.1998.3572]
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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