Inserted: 8 feb 2005
Journal: Proc. Roy. Soc. Edinburgh Sect. A.
In this paper we study the existence of radially symmetric solitary waves for nonlinear Klein-Gordon equations and nonlinear Schrödinger equations coupled with Maxwell equations. The method relies on a variational approach and the solutions are obtained as mountain-pass critical points for the associated energy functional.
Keywords: Klein-Gordon-Maxwell system, Schrödinger-Maxwell system, solitary waves