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

Kyungwoo Song

doi:10.1016/j.jmaa.2022.126388

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

Kyungwoo Song

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Article number	126388
Journal	Journal of Mathematical Analysis and Applications
Volume	515
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2022.126388
Publication status	Published - 1 Nov 2022

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Publisher Copyright:
© 2022 Elsevier Inc.

Keywords

Generalized Maxwell-Chern-Simons-Higgs model
Generalized implicit function theorem
Nontopological solutions

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10.1016/j.jmaa.2022.126388

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abstract = "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.",

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AB - 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.

KW - Generalized Maxwell-Chern-Simons-Higgs model

KW - Generalized implicit function theorem

KW - Nontopological solutions

UR - https://www.scopus.com/pages/publications/85131397748

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DO - 10.1016/j.jmaa.2022.126388

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JF - Journal of Mathematical Analysis and Applications

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

Abstract

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Keywords

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