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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 2209 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 2163 | - |
dc.citation.title | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.citation.volume | 268 | - |
dc.contributor.author | Lee, Youngae | - |
dc.contributor.author | Lin, Chang-Shou | - |
dc.contributor.author | Yang, Wen | - |
dc.contributor.author | Zhang, Lei | - |
dc.date.accessioned | 2023-12-21T18:06:29Z | - |
dc.date.available | 2023-12-21T18:06:29Z | - |
dc.date.created | 2021-07-27 | - |
dc.date.issued | 2020-02 | - |
dc.description.abstract | In this paper, we study the degree counting formula of the rank two Toda system with simple singular source when rho(1) is an element of(0, 4 pi) boolean OR(4 pi, 8 pi) and rho(2) is not an element of 4 pi N. The key step is to derive the degree formula of the shadow system, which arises from the bubbling solutions as rho(1) tends to 4 pi. In order to compute the topological degree of the shadow system, we need to find some suitable deformation. During this deformation, we shall deal with new difficulty arising from the phenomenon: blow up does not necessarily imply concentration of mass. This phenomenon occurs due to the collapsing of singularities. This is a continuation of the previous work [25]. | - |
dc.identifier.bibliographicCitation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.268, no.5, pp.2163 - 2209 | - |
dc.identifier.doi | 10.1016/j.jde.2019.09.016 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.scopusid | 2-s2.0-85072300416 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/53454 | - |
dc.identifier.wosid | 000504930400011 | - |
dc.language | 영어 | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Degree counting for Toda system with simple singularity: One point blow up | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Toda system | - |
dc.subject.keywordAuthor | Topological degree | - |
dc.subject.keywordAuthor | Bubbling solutions | - |
dc.subject.keywordAuthor | Shadow system | - |
dc.subject.keywordPlus | MEAN-FIELD EQUATIONS | - |
dc.subject.keywordPlus | CHERN-SIMONS MODEL | - |
dc.subject.keywordPlus | BUBBLING SOLUTIONS | - |
dc.subject.keywordPlus | ANALYTIC ASPECTS | - |
dc.subject.keywordPlus | LIOUVILLE TYPE | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | CLASSIFICATION | - |
dc.subject.keywordPlus | INEQUALITY | - |
dc.subject.keywordPlus | CURVATURE | - |
dc.subject.keywordPlus | BEHAVIOR | - |
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