LARGE SOLUTIONS OF ELLIPTIC SYSTEMS OF SECOND ORDER AND APPLICATIONS TO THE BIHARMONIC EQUATION

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dc.contributor.authorBidaut Veron, Marie Francoise
dc.contributor.authorGarcia Huidobro, Marta
dc.contributor.authorYarur, Cecilia
dc.date.accessioned2024-01-10T12:06:17Z
dc.date.available2024-01-10T12:06:17Z
dc.date.issued2012
dc.description.abstractIn this work we study the nonnegative solutions of the elliptic system
dc.description.abstractDelta U - vertical bar x vertical bar(a)v(delta), Delta v - vertical bar x vertical bar(b)u(mu)
dc.description.abstractin the superlinear case mu delta > 1, which blow up near the boundary of a domain of R-N, or at one isolated point. In the radial case we give the precise behavior of the large solutions near the boundary in any dimension N. We also show the existence of infinitely many solutions blowing up at 0. Furthermore, we show that there exists a global positive solution in R-N \ {0}, large at 0, and we describe its behavior. We apply the results to the sign changing solutions of the biharmonic equation
dc.description.abstractDelta(2)u = vertical bar x vertical bar(b) vertical bar u vertical bar(mu).
dc.description.abstractOur results are based on a new dynamical approach of the radial system by means of a quadratic system of order 4, introduced in [4], combined with the nonradial upper estimates of [5].
dc.description.funderFondecyt
dc.description.funderEcos-Conicyt
dc.fechaingreso.objetodigital2024-05-30
dc.format.extent22 páginas
dc.fuente.origenWOS
dc.identifier.doi10.3934/dcds.2012.32.411
dc.identifier.issn1078-0947
dc.identifier.urihttps://doi.org/10.3934/dcds.2012.32.411
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76140
dc.identifier.wosidWOS:000296750500003
dc.information.autorucMatemática;García-Huidobro M;S/I;60600
dc.issue.numero2
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final432
dc.pagina.inicio411
dc.publisherAMER INST MATHEMATICAL SCIENCES
dc.revistaDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
dc.rightsacceso restringido
dc.subjectSemilinear elliptic systems
dc.subjectboundary blow-up
dc.subjectKeller-Osserman estimates
dc.subjectasymptotic behavior
dc.subjectbiharmonic equation
dc.subjectBOUNDARY BLOW-UP
dc.subjectASYMPTOTIC-BEHAVIOR
dc.subjectCOMPETITIVE TYPE
dc.subjectUNIQUENESS
dc.subjectEXISTENCE
dc.titleLARGE SOLUTIONS OF ELLIPTIC SYSTEMS OF SECOND ORDER AND APPLICATIONS TO THE BIHARMONIC EQUATION
dc.typeartículo
dc.volumen32
sipa.codpersvinculados60600
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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