We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in the magneto-static case, i.e. when the electric potential φ = 0. This result, due to the lack of suitable embedding theorems for the vector potential A is achieved with the help of a penalization method. © 2009 Birkhäuser Verlag Basel/Switzerland.
Magneto-static vortices in two dimensional Abelian gauge theories
Siciliano G.
2009-01-01
Abstract
We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in the magneto-static case, i.e. when the electric potential φ = 0. This result, due to the lack of suitable embedding theorems for the vector potential A is achieved with the help of a penalization method. © 2009 Birkhäuser Verlag Basel/Switzerland.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
