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Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Choi, Woocheol | - |
| dc.contributor.author | Kim, Seunghyeok | - |
| dc.date.accessioned | 2022-07-08T20:26:45Z | - |
| dc.date.available | 2022-07-08T20:26:45Z | - |
| dc.date.created | 2021-05-12 | - |
| dc.date.issued | 2019-12 | - |
| dc.identifier.issn | 0021-7824 | - |
| dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/146654 | - |
| dc.description.abstract | We consider the Lane-Emden system {-Delta u = v(p) in Omega, -Delta v = u(q) in Omega, u, v > 0 in Omega, u = v = 0 on partial derivative Omega where 12 is a smooth bounded domain in R-n for n >= 3 and 0 < p < q < infinity. The asymptotic behavior of least energy solutions near the critical hyperbola was studied by Guerra [17] when p >= 1 and the domain is convex. In this paper, we cover all the remaining cases p < 1 and extend the results to arbitrary smooth bounded domains. | - |
| dc.language | 영어 | - |
| dc.language.iso | en | - |
| dc.publisher | ELSEVIER | - |
| dc.title | Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Kim, Seunghyeok | - |
| dc.identifier.doi | 10.1016/j.matpur.2019.04.001 | - |
| dc.identifier.scopusid | 2-s2.0-85063870078 | - |
| dc.identifier.wosid | 000500376300014 | - |
| dc.identifier.bibliographicCitation | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v.132, pp.398 - 456 | - |
| dc.relation.isPartOf | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | - |
| dc.citation.title | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | - |
| dc.citation.volume | 132 | - |
| dc.citation.startPage | 398 | - |
| dc.citation.endPage | 456 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.isOpenAccess | N | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | GROUND-STATE SOLUTIONS | - |
| dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
| dc.subject.keywordPlus | EXISTENCE | - |
| dc.subject.keywordPlus | SYMMETRY | - |
| dc.subject.keywordAuthor | Lane-Emden system | - |
| dc.subject.keywordAuthor | Critical hyperbola | - |
| dc.subject.keywordAuthor | Non-convex domain | - |
| dc.subject.keywordAuthor | Exponent less than 1 | - |
| dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0021782419300662?via%3Dihub | - |
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Related Researcher
- Kim, Seung hyeok
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)