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DC Field | Value | Language |
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dc.citation.number | 12 | - |
dc.citation.title | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.citation.volume | 280 | - |
dc.contributor.author | Byeon, Jaeyoung | - |
dc.contributor.author | Lee, Youngae | - |
dc.contributor.author | Moon, Sang-Hyuck | - |
dc.date.accessioned | 2023-12-21T15:41:58Z | - |
dc.date.available | 2023-12-21T15:41:58Z | - |
dc.date.created | 2021-07-27 | - |
dc.date.issued | 2021-06 | - |
dc.description.abstract | In this paper, we prove a partly clustering phenomenon for nonlinear Schrodinger systems with large mixed couplings of attractive and repulsive forces, which arise from the models in Bose-Einstein condensates and nonlinear optics. More precisely, we consider a system with three components where the interaction between the first two components and the third component is repulsive, and the interaction between the first two components is attractive. Recent studies [10-13] in this case show that for large interaction forces, the first two components are localized in a region with a small energy and the third component is close to a solution of a single equation. Especially, the results in the works [12,13] say that the region of localization for a (locally) least energy vector solution on a ball in the class of radially symmetric functions is the origin or the whole boundary depending on the space dimension 1 <= n <= 3. In this paper we construct a new type of solutions with a region of localization different from the origin or the whole boundary. In fact, we show that there exist radially symmetric positive vector solutions with clustering multi-bumps for the first two components near the maximum point of r(n-1)U(3), where U is the limit of the third component and the maximum point is the only critical point different from the origin and the boundary. | - |
dc.identifier.bibliographicCitation | JOURNAL OF FUNCTIONAL ANALYSIS, v.280, no.12 | - |
dc.identifier.doi | 10.1016/j.jfa.2021.108987 | - |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.scopusid | 2-s2.0-85103006494 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/53440 | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0022123621000690?via%3Dihub | - |
dc.identifier.wosid | 000636067100001 | - |
dc.language | 영어 | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Partly clustering solutions of nonlinear Schrodinger systems with mixed interactions | - |
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 | Nonlinear Schrodinger systems | - |
dc.subject.keywordAuthor | Mixed interactions | - |
dc.subject.keywordAuthor | Multiple scaling | - |
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