Coron's problem for the critical Lane-Emden system
DC Field | Value | Language |
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dc.contributor.author | Jin, Sangdon | - |
dc.contributor.author | Kim, Seunghyeok | - |
dc.date.accessioned | 2023-09-26T09:46:11Z | - |
dc.date.available | 2023-09-26T09:46:11Z | - |
dc.date.created | 2023-08-01 | - |
dc.date.issued | 2023-10 | - |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/191277 | - |
dc.description.abstract | We address the solvability of the critical Lane-Emden system in a smooth bounded domain with a small spherical hole of radius ϵ>0. We prove that the system admits a family of positive solutions that concentrate around the center of the hole as ϵ→0, obtaining a concrete qualitative description of the solutions as well. To the best of our knowledge, this is the first existence result for the critical Lane-Emden system on a bounded domain, while the non-existence result on star-shaped bounded domains has been known since the early 1990s due to Mitidieri (1993) [30] and van der Vorst (1992) [36]. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Coron's problem for the critical Lane-Emden system | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Seunghyeok | - |
dc.identifier.doi | 10.1016/j.jfa.2023.110077 | - |
dc.identifier.scopusid | 2-s2.0-85165161602 | - |
dc.identifier.wosid | 001043563500001 | - |
dc.identifier.bibliographicCitation | JOURNAL OF FUNCTIONAL ANALYSIS, v.285, no.8, pp.1 - 52 | - |
dc.relation.isPartOf | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.citation.title | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.citation.volume | 285 | - |
dc.citation.number | 8 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 52 | - |
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 | - |
dc.subject.keywordPlus | SIGN-CHANGING SOLUTIONS | - |
dc.subject.keywordPlus | CRITICAL SOBOLEV EXPONENT | - |
dc.subject.keywordPlus | ELLIPTIC PROBLEM | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
dc.subject.keywordPlus | TOPOLOGY | - |
dc.subject.keywordPlus | DOMAINS | - |
dc.subject.keywordAuthor | Critical Lane-Emden system | - |
dc.subject.keywordAuthor | Coron&apos | - |
dc.subject.keywordAuthor | s problem | - |
dc.subject.keywordAuthor | Blowing-up solution | - |
dc.subject.keywordAuthor | Asymptotic profile | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0022123623002343?via%3Dihub | - |
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