International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 23, Pages 1481-1495
doi:10.1155/S0161171203012687

Trajectories under a vectorial potential on stationary manifolds

Rossella Bartolo

Dipartimento di Matematica, Politecnico di Bari, Via E. Orabona 4, Bari 70125, Italy

Abstract

By using variational methods, we study the existence and multiplicity of trajectories under a vectorial potential on (standard) stationary Lorentzian manifolds possibly with boundary.