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Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents

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dc.contributor.authorChoi, Woocheol-
dc.contributor.authorKim, Seunghyeok-
dc.date.accessioned2022-07-14T16:28:24Z-
dc.date.available2022-07-14T16:28:24Z-
dc.date.created2021-05-14-
dc.date.issued2017-02-
dc.identifier.issn0373-3114-
dc.identifier.urihttps://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/152870-
dc.description.abstractWe 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.language영어-
dc.language.isoen-
dc.publisherSPRINGER HEIDELBERG-
dc.titleClassification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents-
dc.typeArticle-
dc.contributor.affiliatedAuthorKim, Seunghyeok-
dc.identifier.doi10.1007/s10231-016-0572-9-
dc.identifier.scopusid2-s2.0-84964527043-
dc.identifier.wosid000393687100013-
dc.identifier.bibliographicCitationANNALI DI MATEMATICA PURA ED APPLICATA, v.196, no.1, pp.269 - 308-
dc.relation.isPartOfANNALI DI MATEMATICA PURA ED APPLICATA-
dc.citation.titleANNALI DI MATEMATICA PURA ED APPLICATA-
dc.citation.volume196-
dc.citation.number1-
dc.citation.startPage269-
dc.citation.endPage308-
dc.type.rimsART-
dc.type.docType정기학술지(Article(Perspective Article포함))-
dc.description.journalClass1-
dc.description.isOpenAccessY-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusCRITICAL SOBOLEV EXPONENT-
dc.subject.keywordPlusNONLINEAR SCHRODINGER-EQUATION-
dc.subject.keywordPlusHARDY-LITTLEWOOD-SOBOLEV-
dc.subject.keywordPlusBOUNDARY-VALUE-PROBLEMS-
dc.subject.keywordPlusASYMPTOTIC-BEHAVIOR-
dc.subject.keywordPlusEXTENSION PROBLEM-
dc.subject.keywordPlusMOVING SPHERES-
dc.subject.keywordPlusLAPLACIAN-
dc.subject.keywordPlusCOMPACTNESS-
dc.subject.keywordPlusREGULARITY-
dc.subject.keywordAuthorFractional Laplacian-
dc.subject.keywordAuthorCritical nonlinearity-
dc.subject.keywordAuthorMulti-peak solutions-
dc.subject.keywordAuthorBlow-up analysis-
dc.identifier.urlhttps://link.springer.com/article/10.1007/s10231-016-0572-9-
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