Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Woocheol | - |
dc.contributor.author | Kim, Seunghyeok | - |
dc.date.accessioned | 2022-07-14T16:28:24Z | - |
dc.date.available | 2022-07-14T16:28:24Z | - |
dc.date.created | 2021-05-14 | - |
dc.date.issued | 2017-02 | - |
dc.identifier.issn | 0373-3114 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/152870 | - |
dc.description.abstract | We study qualitative properties of solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents where the associated fractional Laplacian is defined in terms of either the spectra of the Dirichlet Laplacian or the integral representation. As a consequence, we classify the asymptotic behavior of all finite energy solutions. Our method also provides a simple and unified approach to deal with the classical (local) Lane-Emden-Fowler equation for any dimension ˃2. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Seunghyeok | - |
dc.identifier.doi | 10.1007/s10231-016-0572-9 | - |
dc.identifier.scopusid | 2-s2.0-84964527043 | - |
dc.identifier.wosid | 000393687100013 | - |
dc.identifier.bibliographicCitation | ANNALI DI MATEMATICA PURA ED APPLICATA, v.196, no.1, pp.269 - 308 | - |
dc.relation.isPartOf | ANNALI DI MATEMATICA PURA ED APPLICATA | - |
dc.citation.title | ANNALI DI MATEMATICA PURA ED APPLICATA | - |
dc.citation.volume | 196 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 269 | - |
dc.citation.endPage | 308 | - |
dc.type.rims | ART | - |
dc.type.docType | 정기학술지(Article(Perspective Article포함)) | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | CRITICAL SOBOLEV EXPONENT | - |
dc.subject.keywordPlus | NONLINEAR SCHRODINGER-EQUATION | - |
dc.subject.keywordPlus | HARDY-LITTLEWOOD-SOBOLEV | - |
dc.subject.keywordPlus | BOUNDARY-VALUE-PROBLEMS | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
dc.subject.keywordPlus | EXTENSION PROBLEM | - |
dc.subject.keywordPlus | MOVING SPHERES | - |
dc.subject.keywordPlus | LAPLACIAN | - |
dc.subject.keywordPlus | COMPACTNESS | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordAuthor | Fractional Laplacian | - |
dc.subject.keywordAuthor | Critical nonlinearity | - |
dc.subject.keywordAuthor | Multi-peak solutions | - |
dc.subject.keywordAuthor | Blow-up analysis | - |
dc.identifier.url | https://link.springer.com/article/10.1007/s10231-016-0572-9 | - |
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