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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 4401 | - |
dc.citation.number | 7 | - |
dc.citation.startPage | 4343 | - |
dc.citation.title | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.citation.volume | 264 | - |
dc.contributor.author | Lee, Youngae | - |
dc.contributor.author | Lin, Chang-Shou | - |
dc.contributor.author | Wei, Juncheng | - |
dc.contributor.author | Yang, Wen | - |
dc.date.accessioned | 2023-12-21T20:47:53Z | - |
dc.date.available | 2023-12-21T20:47:53Z | - |
dc.date.created | 2021-07-27 | - |
dc.date.issued | 2018-04 | - |
dc.description.abstract | We initiate the program for computing the Leray-Schauder topological degree for Toda systems of rank two. This program still contains a lot of challenging problems for analysts. As the first step, we prove that if a sequence of solutions (u(1k), u(2k)) blows up, then one of h (j) e(ujk)/integral(M)h (j) e(ujk)dv(g), j = 1, 2tends to a sum of Dirac measures. This is so-called the phenomena of weakconcentration. Our purposes in this article are (i) to introduce the shadow system due to the bubbling phenomena when one of parameters rho(i) crosses 4 pi and rho(j) is not an element of 4 pi N where 1 <= i not equal j <= 2; (ii) to show how to calculate the topological degree of Toda systems by computing the topological degree of the generalshadow systems; (iii) to calculate the topological degree of the shadow system for one point blow up. We believe that the degree counting formula for the shadow system would be useful in other problems. | - |
dc.identifier.bibliographicCitation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.264, no.7, pp.4343 - 4401 | - |
dc.identifier.doi | 10.1016/j.jde.2017.12.018 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.scopusid | 2-s2.0-85038941490 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/53464 | - |
dc.identifier.wosid | 000424128800005 | - |
dc.language | 영어 | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Degree counting and Shadow system for Toda system of rank two: One bubbling | - |
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.keywordPlus | MEAN-FIELD EQUATIONS | - |
dc.subject.keywordPlus | CHERN-SIMONS MODEL | - |
dc.subject.keywordPlus | ANALYTIC ASPECTS | - |
dc.subject.keywordPlus | LIOUVILLE TYPE | - |
dc.subject.keywordPlus | SINGULAR DATA | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | BLOW | - |
dc.subject.keywordPlus | CLASSIFICATION | - |
dc.subject.keywordPlus | INEQUALITY | - |
dc.subject.keywordPlus | CURVATURE | - |
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