The nonlinear Klein-Gordon equation coupled with the Maxwell equations

Authors
Benci, V Fortunato, D
Citation
V. Benci et D. Fortunato, The nonlinear Klein-Gordon equation coupled with the Maxwell equations, NONLIN ANAL, 47(9), 2001, pp. 6065-6072
Citations number
14
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
9
Year of publication
2001
Part
9
Pages
6065 - 6072
Database
ISI
SICI code
0362-546X(200108)47:9<6065:TNKECW>2.0.ZU;2-N
Abstract
In this paper we construct a model which describes nonlinear Klein-Gordon f ields interacting with the electromagnetic field (E, H). In the electrostatic case it is possible to prove the existence of infinite ly many chaxged standing waves psi for the nonlinear Klein-Gordon equations and of finite energy electric fields E whose source is related to the fiel d psi. Here we shall only sketch the proof of this result.