In this paper we first study some global properties of the energy functional on a non-
reversible Finsler manifold. In particular we present a fully detailed proof of the Palais …

In this paper we introduce new Lusternik–Schnirelman type methods for nonsmooth
functionals including the action integral associated to the relativistic Lagrangian of a test …

Recent results on the maximization of the charged-particle action in a globally hyperbolic
spacetime are discussed and generalized. We focus on the maximization of over a given …

We obtain a bifurcation result for solutions of the Lorentz equation in a semi-Riemannian
manifold; such solutions are critical points of a certain strongly indefinite functionals defined …

We extend the classical Avez–Seifert theorem to trajectories of charged test particles with
fixed charge-to-mass ratio. In particular, given two events x0 and x1, with x1 in the …

Abstract The classical Avez–Seifert theorem is generalized to the case of the Lorentz force
equation for charged test particles with fixed charge-to-mass ratio. Given two events x 0 and …

We give the notion of a conjugate instant along a solution of the relativistic Lorentz force
equation (LFE). Electromagnetic conjugate instants are defined as zeros of solutions of the …

We find existence and multiplicity results for time-like spatially periodic trajectories of
massive particles carrying an electric charge q and subjected to time-dependent …

In this paper we prove some results on the number of geodesics connecting two points or
two submanifolds on a non-reversible complete Finsler manifold, in particular for complete …

Applied , Page 1 Available online at www.sciencedirect.com Applied , .c,=.c. Mathematics
Letters ELSEVI~ Applied Mathematics Letters 17 (2004) 1371-1374 www.elsevier.com/locate/ami …