Positive solutions for a class of equations with a p-Laplace like operator and weights

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dc.contributor.authorDrabek, Pavel
dc.contributor.authorGarcia Huidobro, Marta
dc.contributor.authorManasevich, Raul
dc.date.accessioned2024-01-10T13:16:23Z
dc.date.available2024-01-10T13:16:23Z
dc.date.issued2009
dc.description.abstractIn this paper we will study the problem of existence of positive solutions to the problem
dc.description.abstract(D) {(a(r)phi(u'))' + b(r)g(u) = 0. a.e. in (0, R), lim a(r)phi(u'(r)) = 0, u(R) = 0, r -> 0
dc.description.abstractwhere phi is an odd increasing homeomorphism of R and g is an element of C(R) is such that g(z) > 0 for all z > 0 with g(0) = 0. The functions a and b, that we will refer to as weight functions, satisfy a(r) > 0, b(r) > 0 for all r is an element of (0, R] and are such that a, b is an element of C-1(0, R) boolean AND L-1(0, R). If phi has the form phi(z) = zm(vertical bar z vertical bar), and
dc.description.abstracta(r) = r(N-1) (a) over tilde (r), b(r) = r(N-1) (b) over tilde (r), N >= 2
dc.description.abstractthen solutions of problem (D) provide solutions with radial symmetry for the problem
dc.description.abstract(P) {div((a) over tilde(vertical bar x vertical bar)m(vertical bar del u vertical bar)del u) + (b) over tilde(vertical bar x vertical bar)g(u) = 0, x is an element of Omega, u = 0, x is an element of partial derivative Omega,
dc.description.abstractwhere Omega = B(0, R) denotes the ball with center 0 and radius R > 0 in R-N. (C) 2008 Elsevier Ltd. All rights reserved.
dc.description.funderFONDECYT
dc.description.funderMilenio grant
dc.fechaingreso.objetodigital03-04-2024
dc.format.extent20 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.na.2008.11.094
dc.identifier.eissn1873-5215
dc.identifier.issn0362-546X
dc.identifier.urihttps://doi.org/10.1016/j.na.2008.11.094
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78581
dc.identifier.wosidWOS:000266699600058
dc.information.autorucMatemática;Garcia-Huidobro M;S/I;60600
dc.issue.numero3-4
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final1300
dc.pagina.inicio1281
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.revistaNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
dc.rightsacceso restringido
dc.subjectphi-Laplacian
dc.subjectPohozaev identities
dc.subjectGeneralized Matukuma equations
dc.subjectCriticality
dc.subjectRADIAL SOLUTIONS
dc.titlePositive solutions for a class of equations with a p-Laplace like operator and weights
dc.typeartículo
dc.volumen71
sipa.codpersvinculados60600
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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