Geodesic
Solitary waves for Maxwell-Schrödinger equations
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a27/}
}
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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/