Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents

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dc.contributor.authorChoi, Woocheol
dc.contributor.authorKim, Seunghyeok
dc.contributor.authorLee, Ki Ahm
dc.date.accessioned2024-01-10T12:41:53Z
dc.date.available2024-01-10T12:41:53Z
dc.date.issued2016
dc.description.abstractThe 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. (C) 2016 Elsevier Inc. Ali rights reserved.
dc.description.funderGovernment of South Korea
dc.description.funderFONDECYT
dc.description.funderNational Research Foundation of Korea (NRF) - Korea government (MSIP)
dc.fechaingreso.objetodigital19-03-2024
dc.format.extent50 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.aim.2016.03.043
dc.identifier.eissn1090-2082
dc.identifier.issn0001-8708
dc.identifier.urihttps://doi.org/10.1016/j.aim.2016.03.043
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77461
dc.identifier.wosidWOS:000378099600014
dc.information.autorucMatemática;Kim S;S/I;237777
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final533
dc.pagina.inicio484
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaADVANCES IN MATHEMATICS
dc.rightsacceso restringido
dc.subjectAsymptotic behavior of solutions
dc.subjectCritical exponents
dc.subjectLinearized problem
dc.subjectMulti-bubble solutions
dc.subjectUP SOLUTIONS
dc.subjectCOMPACTNESS
dc.subjectEIGENFUNCTIONS
dc.titleQualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents
dc.typeartículo
dc.volumen298
sipa.codpersvinculados237777
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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