In this paper we study solitary waves for the coupled system of Schr\"odinger- 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.
Solitary waves for Maxwell-Schrödinger equations / Coclite, Giuseppe Maria; Georgiev, V.. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - 2004:(2004), pp. 1-31.
Solitary waves for Maxwell-Schrödinger equations
COCLITE, Giuseppe Maria;
2004-01-01
Abstract
In this paper we study solitary waves for the coupled system of Schr\"odinger- 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.File in questo prodotto:
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