Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 94, pp. 1-31.

Title: Solitary waves for Maxwell-Schrodinger equations

Authors: Giuseppe Maria Coclite (C.M.A., Oslo, Norway)
         Vladimir  Georgiev (Univ. degli Studi di Pisa, Italy)
 
Abstract: 
 In this paper we study solitary waves for the coupled system
 of  Schrodinger-Maxwell equations in the three-dimensional space.
 We prove  the existence of a sequence of radial
 solitary waves for these equations with a fixed L^2 norm.
 We study the asymptotic behavior and the smoothness of these solutions.
 We show also that the eigenvalues are negative  and the first one
 is isolated.
 
Submitted May 21, 2004. Published July 30, 2004.
Math Subject Classifications: 35Q55, 35Q60, 35Q40.
Key Words: Maxwell-Schrodinger system; solitary type solutions; 
 variational problems.