Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Woocheol | - |
dc.contributor.author | Kim, Seunghyeok | - |
dc.contributor.author | Lee, Ki-Ahm | - |
dc.date.accessioned | 2022-07-15T09:45:07Z | - |
dc.date.available | 2022-07-15T09:45:07Z | - |
dc.date.created | 2021-05-14 | - |
dc.date.issued | 2016-08 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/154093 | - |
dc.description.abstract | The objective of this paper is to obtain qualitative characteristics of multi-bubble solutions to the Lane-Emden-Fowler equations with slightly subcritical exponents given any dimension n >= 3. By examining the linearized problem at each m-bubble solution, we provide a number of estimates on the first (n + 2)m-eigenvalues and their corresponding eigenfunctions. Specifically, we present a new and unified proof of the classical theorems due to Bahri-Li-Rey (1995) [2] and Rey (1999) [24] which state that if n >= 4 or n = 3, respectively, then the Morse index of a multi-bubble solution is governed by a certain symmetric matrix whose component consists of a combination of Green's function, the Robin function, and their first and second derivatives. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Seunghyeok | - |
dc.identifier.doi | 10.1016/j.aim.2016.03.043 | - |
dc.identifier.scopusid | 2-s2.0-84966376402 | - |
dc.identifier.wosid | 000378099600014 | - |
dc.identifier.bibliographicCitation | ADVANCES IN MATHEMATICS, v.298, pp.484 - 533 | - |
dc.relation.isPartOf | ADVANCES IN MATHEMATICS | - |
dc.citation.title | ADVANCES IN MATHEMATICS | - |
dc.citation.volume | 298 | - |
dc.citation.startPage | 484 | - |
dc.citation.endPage | 533 | - |
dc.type.rims | ART | - |
dc.type.docType | 정기학술지(Article(Perspective Article포함)) | - |
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 | UP SOLUTIONS | - |
dc.subject.keywordPlus | COMPACTNESS | - |
dc.subject.keywordPlus | EIGENFUNCTIONS | - |
dc.subject.keywordAuthor | Asymptotic behavior of solutions | - |
dc.subject.keywordAuthor | Critical exponents | - |
dc.subject.keywordAuthor | Linearized problem | - |
dc.subject.keywordAuthor | Multi-bubble solutions | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0001870816304625?via%3Dihub | - |
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