Existence of nontopological solutions for the generalized Maxwell-Chern-Simons-Higgs model

In this paper, we study nontopological solutions of the generalized self-dual Maxwell-Chern-Simons-Higgs model in the whole plane. By introducing a scaling parameter ε>0 and regarding the main equations as perturbation of a singular Liouville equation for small ε, we verify the existence of one p...

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Veröffentlicht in:	Journal of mathematical analysis and applications Jg. 515; H. 1; S. 126388
1. Verfasser:	Song, Kyungwoo
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 01.11.2022
Schlagworte:	Generalized implicit function theorem Generalized Maxwell-Chern-Simons-Higgs model Nontopological solutions Nontopological solutions Generalized Maxwell-Chern-Simons-Higgs model Generalized implicit function theorem
ISSN:	0022-247X, 1096-0813
Online-Zugang:	Volltext
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Zusammenfassung:	In this paper, we study nontopological solutions of the generalized self-dual Maxwell-Chern-Simons-Higgs model in the whole plane. By introducing a scaling parameter ε>0 and regarding the main equations as perturbation of a singular Liouville equation for small ε, we verify the existence of one parametric family of nontopological solutions.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2022.126388