TY - JOUR
T1 - Solitary waves for Maxwell-Schrödinger equations
AU - Coclite, Giuseppe Maria
AU - Georgiev, Vladimir
PY - 2004/7/30
Y1 - 2004/7/30
N2 - In this paper we study solitary waves for the coupled system of Schrödinger- Maxwell equations in the three-dimensional space. We prove the existence of a sequence of radial solitary waves for these equations with a fixed L2 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.
AB - In this paper we study solitary waves for the coupled system of Schrödinger- Maxwell equations in the three-dimensional space. We prove the existence of a sequence of radial solitary waves for these equations with a fixed L2 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.
KW - Maxwell - Schrödinger system
KW - Solitary type solutions
KW - Variational problems
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M3 - Article
AN - SCOPUS:4644344610
VL - 2004
SP - 1
EP - 15
JO - Electronic Journal of Differential Equations
JF - Electronic Journal of Differential Equations
SN - 1072-6691
ER -