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Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian

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dc.contributor.authorChoi, Woocheolko
dc.contributor.authorKim, Seunghyeokko
dc.contributor.authorLee, Ki-Ahmko
dc.date.accessioned2014-08-29T02:49:51Z-
dc.date.available2014-08-29T02:49:51Z-
dc.date.created2014-06-09-
dc.date.created2014-06-09-
dc.date.issued2014-06-
dc.identifier.citationJOURNAL OF FUNCTIONAL ANALYSIS, v.266, no.11, pp.6531 - 6598-
dc.identifier.issn0022-1236-
dc.identifier.urihttp://hdl.handle.net/10203/189014-
dc.description.abstractIn this paper we study the asymptotic behavior of least energy solutions and the existence of multiple bubbling solutions of nonlinear elliptic equations involving the fractional Laplacians and the critical exponents. This work can be seen as a nonlocal analog of the results of Han (1991) [24] and Rey (1990) [35].-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectCRITICAL SOBOLEV EXPONENT-
dc.subjectHARDY-LITTLEWOOD-SOBOLEV-
dc.subjectEXTENSION PROBLEM-
dc.subjectMOVING SPHERES-
dc.subjectEQUATIONS-
dc.subjectINEQUALITY-
dc.subjectREGULARITY-
dc.subjectBUBBLE-
dc.subjectTOWER-
dc.subjectDERIVATIVES-
dc.titleAsymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian-
dc.typeArticle-
dc.identifier.wosid000335367300008-
dc.identifier.scopusid2-s2.0-84898923444-
dc.type.rimsART-
dc.citation.volume266-
dc.citation.issue11-
dc.citation.beginningpage6531-
dc.citation.endingpage6598-
dc.citation.publicationnameJOURNAL OF FUNCTIONAL ANALYSIS-
dc.identifier.doi10.1016/j.jfa.2014.02.029-
dc.contributor.nonIdAuthorChoi, Woocheol-
dc.contributor.nonIdAuthorLee, Ki-Ahm-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorFractional Laplacian-
dc.subject.keywordAuthorCritical nonlinearity-
dc.subject.keywordAuthorAsymptotic behavior of least energy solutions-
dc.subject.keywordAuthorLyapunov-Schmidt reduction-
dc.subject.keywordPlusCRITICAL SOBOLEV EXPONENT-
dc.subject.keywordPlusHARDY-LITTLEWOOD-SOBOLEV-
dc.subject.keywordPlusEXTENSION PROBLEM-
dc.subject.keywordPlusMOVING SPHERES-
dc.subject.keywordPlusEQUATIONS-
dc.subject.keywordPlusINEQUALITY-
dc.subject.keywordPlusREGULARITY-
dc.subject.keywordPlusBUBBLE-
dc.subject.keywordPlusTOWER-
dc.subject.keywordPlusDERIVATIVES-
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