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 |
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| Sprache: | Englisch |
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01.11.2022
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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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| AbstractList | 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. |
| ArticleNumber | 126388 |
| Author | Song, Kyungwoo |
| Author_xml | – sequence: 1 givenname: Kyungwoo orcidid: 0000-0002-8671-6071 surname: Song fullname: Song, Kyungwoo email: kyusong@khu.ac.kr organization: Department of Mathematics, Kyung Hee University, Seoul 130-701, Republic of Korea |
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| Cites_doi | 10.1016/0370-2693(90)91084-O 10.1512/iumj.2015.64.5691 10.1016/j.jfa.2016.01.024 10.1063/1.3179159 10.1016/j.nonrwa.2013.09.009 10.1006/jfan.2002.3988 10.1007/s00208-020-02057-7 10.1063/1.529824 10.1007/s002200000302 10.1023/A:1012322727547 10.1006/jdeq.1996.3224 10.1088/1751-8113/44/13/135203 10.1063/1.1507609 10.1016/j.jmaa.2021.125327 10.1103/PhysRevD.23.2335 10.1016/j.anihpc.2011.06.003 10.1016/j.na.2015.01.020 10.1007/BF01885496 10.1088/0951-7715/26/3/805 10.1002/(SICI)1097-0312(200007)53:7<811::AID-CPA2>3.0.CO;2-F 10.1063/1.1861277 10.1103/PhysRevD.81.125014 10.1007/978-1-4757-6548-9 |
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| References | Han, Song (br0160) 2021; 504 Yang (br0250) 1991; 23 Chen, Chern (br0090) 2016; 270 Lohe (br0200) 1981; 23 Han, Jang (br0140) 2005; 46 Ao, Kwon, Lee (br0010) 2021; 381 Chern, Yang (br0100) 2015; 64 Chae, Imanuvilov (br0060) 2002; 196 Ricciardi, Tarantello (br0220) 2000; 53 Tarantello (br0230) 2008; vol. 72 Chae, Imanuvilov (br0050) 2000; 215 Han, Song (br0150) 2015; 118 Ricciardi (br0210) 2004; 17 Wang, Yang (br0240) 1992; 33 Lee, Lee, Min (br0190) 1990; 252 Chae, Huh (br0080) 2009; 50 Gel'man (br0120) 2001; 35 Han, Kim (br0130) 2011; 44 Chae, Kim (br0070) 1997; 134 Bazeia, da Hora, dos Santos, Menezes (br0030) 2010; 81 Chae, Chae (br0040) 2002; 43 Bazeia, Casana, Hora, Menezes (br0020) 2012; 85 Han (br0170) 2013; 26 Yang (br0260) 2001 Han (br0180) 2014; 16 Choe, Kim, Lin (br0110) 2011; 28 Chern (10.1016/j.jmaa.2022.126388_br0100) 2015; 64 Chae (10.1016/j.jmaa.2022.126388_br0050) 2000; 215 Chae (10.1016/j.jmaa.2022.126388_br0070) 1997; 134 Han (10.1016/j.jmaa.2022.126388_br0130) 2011; 44 Chae (10.1016/j.jmaa.2022.126388_br0060) 2002; 196 Han (10.1016/j.jmaa.2022.126388_br0150) 2015; 118 Bazeia (10.1016/j.jmaa.2022.126388_br0020) 2012; 85 Chen (10.1016/j.jmaa.2022.126388_br0090) 2016; 270 Lohe (10.1016/j.jmaa.2022.126388_br0200) 1981; 23 Choe (10.1016/j.jmaa.2022.126388_br0110) 2011; 28 Wang (10.1016/j.jmaa.2022.126388_br0240) 1992; 33 Ricciardi (10.1016/j.jmaa.2022.126388_br0220) 2000; 53 Lee (10.1016/j.jmaa.2022.126388_br0190) 1990; 252 Chae (10.1016/j.jmaa.2022.126388_br0080) 2009; 50 Yang (10.1016/j.jmaa.2022.126388_br0250) 1991; 23 Han (10.1016/j.jmaa.2022.126388_br0160) 2021; 504 Han (10.1016/j.jmaa.2022.126388_br0180) 2014; 16 Bazeia (10.1016/j.jmaa.2022.126388_br0030) 2010; 81 Han (10.1016/j.jmaa.2022.126388_br0170) 2013; 26 Yang (10.1016/j.jmaa.2022.126388_br0260) 2001 Han (10.1016/j.jmaa.2022.126388_br0140) 2005; 46 Gel'man (10.1016/j.jmaa.2022.126388_br0120) 2001; 35 Tarantello (10.1016/j.jmaa.2022.126388_br0230) 2008; vol. 72 Ricciardi (10.1016/j.jmaa.2022.126388_br0210) 2004; 17 Chae (10.1016/j.jmaa.2022.126388_br0040) 2002; 43 Ao (10.1016/j.jmaa.2022.126388_br0010) 2021; 381 |
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| Title | Existence of nontopological solutions for the generalized Maxwell-Chern-Simons-Higgs model |
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