We prove an existence result for trajectories of classical particles accelerated by a potential and a magnetic field on a non--complete Riemannian manifold $M$. Both the potential and the magnetic field may be not bounded and have critical growth. We state a suitable convexity assumption involving the magnetic field in order to prove that the support of each trajectory is entirely contained in M.
|Titolo:||Trajectories of a charge in a magnetic field on Riemannian manifolds with boundary|
|Data di pubblicazione:||2010|
|Appare nelle tipologie:||1.1 Articolo in rivista|