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DC Field | Value | Language |
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dc.citation.number | 3 | - |
dc.citation.startPage | 36 | - |
dc.citation.title | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | - |
dc.citation.volume | 30 | - |
dc.contributor.author | Huang, Hsin-Yuan | - |
dc.contributor.author | Lee, Youngae | - |
dc.contributor.author | Moon, Sang-hyuck | - |
dc.date.accessioned | 2023-12-21T12:40:44Z | - |
dc.date.available | 2023-12-21T12:40:44Z | - |
dc.date.created | 2023-03-23 | - |
dc.date.issued | 2023-05 | - |
dc.description.abstract | In this paper, we are concerned with the general non-Abelian Chern-Simons-Higgs models of rank two. The corresponding self-dual equations can be reduced to a nonlinear elliptic system, and the form is determined by a non-degenerate matrix K. One of the major questions is how the matrix K affects the structure of the solutions to the self-dual equations. There have been some existence results of the solutions to the self-dual equations when det(K)> 0. However, the solvability for the case det(K)< 0 < 0 is not fully understood in spite of its physical importance. In contrast to det(K)> 0, one major difficulty for the case det(K)< 0 is that the energy functional associated with the elliptic system is usually indefinite. The direct variational method thus fails. We overcome this obstacle and obtain a partially positive answer for the solvability when det(K)< 0 by controlling the indefinite functional with a suitable constraint. | - |
dc.identifier.bibliographicCitation | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v.30, no.3, pp.36 | - |
dc.identifier.doi | 10.1007/s00030-022-00837-5 | - |
dc.identifier.issn | 1021-9722 | - |
dc.identifier.scopusid | 2-s2.0-85148349656 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/62424 | - |
dc.identifier.wosid | 000936242600001 | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER INT PUBL AG | - |
dc.title | Non-Abelian Chern-Simons-Higgs system with indefinite functional | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Variational method | - |
dc.subject.keywordAuthor | Second order elliptic systems | - |
dc.subject.keywordAuthor | Moser-Trudinger inequality | - |
dc.subject.keywordAuthor | Indefinite functional | - |
dc.subject.keywordAuthor | Maximum principle | - |
dc.subject.keywordPlus | NONTOPOLOGICAL BUBBLING SOLUTIONS | - |
dc.subject.keywordPlus | MIXED-TYPE SOLUTIONS | - |
dc.subject.keywordPlus | RANK 2 | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | VORTICES | - |
dc.subject.keywordPlus | MODEL | - |
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