Trajectories of a charge in a magnetic field on Riemannian manifolds with boundary

Bartolo, R; Germinario, Anna

doi:10.1016/j.na.2006.03.027

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 .

Trajectories of a charge in a magnetic field on Riemannian manifolds with boundary / BARTOLO R; GERMINARIO A. - In: DYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS. SERIES A: MATHEMATICAL ANALYSIS. - ISSN 1201-3390. - 17(2010), pp. 363-376.

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Titolo:	Trajectories of a charge in a magnetic field on Riemannian manifolds with boundary
Autori:	BARTOLO R GERMINARIO, Anna mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2010
Rivista:	DYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS. SERIES A: MATHEMATICAL ANALYSIS
Citazione:	Trajectories of a charge in a magnetic field on Riemannian manifolds with boundary / BARTOLO R; GERMINARIO A. - In: DYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS. SERIES A: MATHEMATICAL ANALYSIS. - ISSN 1201-3390. - 17(2010), pp. 363-376.
Abstract:	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 .
Handle:	http://hdl.handle.net/11586/16142
Appare nelle tipologie:	1.1 Articolo in rivista

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