On the structure of positive radial solutions to an equation containing a p-Laplacian with weight

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dc.contributor.authorGarcia Huldobro, M
dc.contributor.authorManasevich, R
dc.contributor.authorYarur, CS
dc.date.accessioned2024-01-10T12:41:08Z
dc.date.available2024-01-10T12:41:08Z
dc.date.issued2006
dc.description.abstractLet A. B : (0, infinity) -> (0 infinity) be two given weight functions and consider the equation (P) - div (A(vertical bar x vertical bar)vertical bar del u vertical bar(p-2)del u) = B (vertical bar x vertical bar)vertical bar u vertical bar(q-2)u, x is an element of R-n, where q > p > 1. By considering positive radial solutions to this equation that are bounded, we are led to study the initial value problem
dc.description.abstract{-(a(r)vertical bar u'vertical bar(p-2) u') = b(r) (u(+))(q-1), r is an element of (0, infinity) u(0) = alpha > 0, lim(r -> 0) a (r)vertical bar u'(r)vertical bar(p-1)=0,
dc.description.abstractwhere a(r) = r((N-1)) A(r) and b(r) = r((N-1)) B(r). By means of two key functions in and B-q defined below, we obtain several new results that allow us to classify solutions to this initial value problem as being respectively crossing, slowly decaying, or rapidly decaying. We also generalize several results in Clement et al. (Asymptotic Anal. 17 (1998) 13-29), Kawano et al. (Funkcial. Ekvac 36 (1993) 121-145), Yanagida and Yotsutani (Arch. Rational Mech. Anal. 124 (1993) 239-259), Yanagida and Yotsutani (J. Differential Equations 115 (1995) 477-502), Yanagida and Yotsutani.
dc.fechaingreso.objetodigital27-03-2024
dc.format.extent45 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jde.2005.04.012
dc.identifier.eissn1090-2732
dc.identifier.issn0022-0396
dc.identifier.urihttps://doi.org/10.1016/j.jde.2005.04.012
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77386
dc.identifier.wosidWOS:000236416900003
dc.information.autorucMatemática;García-Huidobro M;S/I;60600
dc.issue.numero1
dc.language.isoen
dc.nota.accesocontenido completo
dc.pagina.final95
dc.pagina.inicio51
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF DIFFERENTIAL EQUATIONS
dc.rightsacceso abierto
dc.subjectp-Laplacian
dc.subjectweight functions
dc.subjectenergy identities
dc.subjectSEMILINEAR ELLIPTIC-EQUATIONS
dc.subjectDELTA-U+K(VERTICAL-BAR-X-VERTICAL-BAR) U(P)=0
dc.subjectASYMPTOTIC-BEHAVIOR
dc.subjectSINGULAR SOLUTIONS
dc.subjectEXISTENCE
dc.subjectSYMMETRY
dc.subjectTHEOREMS
dc.subjectR(N)
dc.subjectRN
dc.titleOn the structure of positive radial solutions to an equation containing a p-Laplacian with weight
dc.typeartículo
dc.volumen223
sipa.codpersvinculados60600
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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