Geodesic
Solitary waves for Maxwell-Schrödinger equations
Electronic journal of differential equations, Tome 2004 (2004)
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.
Classification : 35Q55, 35Q60, 35Q40
Keywords: Maxwell-Schrödinger system, solitary type solutions, variational problems 
@article{EJDE_2004__2004__a27,
     author = {Coclite,  Giuseppe Maria and Georgiev,  Vladimir},
     title = {Solitary waves for {Maxwell-Schr\"odinger} equations},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1064.35180},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a27/}
}
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AU  - Georgiev,  Vladimir
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JO  - Electronic journal of differential equations
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%A Georgiev,  Vladimir
%T Solitary waves for Maxwell-Schrödinger equations
%J Electronic journal of differential equations
%D 2004
%V 2004
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%F EJDE_2004__2004__a27
Coclite,  Giuseppe Maria; Georgiev,  Vladimir. Solitary waves for Maxwell-Schrödinger equations. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a27/