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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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 515; no. 1; p. 126388
Main Author:	Song, Kyungwoo
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.11.2022
Subjects:	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 Access:	Get full text
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Summary:	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