Múltiples soluciones radiales para una EDP cuasilineal.

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dc.contributor.advisorHerrón Osorio, Sigifredo de Jesús
dc.contributor.authorSierra Giraldo, Alexander
dc.contributor.orcidHerrón Osorio, Sigifredo de Jesús [0000000152125049]
dc.date.accessioned2026-03-19T19:32:44Z
dc.date.available2026-03-19T19:32:44Z
dc.date.issued2026-03-06
dc.description.abstractSe demuestra la existencia de infinitas soluciones radiales para un problema con el p-Laplaciano; con condición de frontera nula y de tipo Dirichlet. El dominio considerado es la bola unitaria de R^N. El Teorema 2.5 es un aporte personal al trabajo. Además, se completan los detalles de las ideas de Joseph A. Iaia en [Joseph A. Iaia. Radial solutions to a p-laplacian dirichlet problem. Applicable Analysis, 58(3):335–350, 1995]. (Texto tomado de la fuente)spa
dc.description.abstractWe prove the existence of infinitely many radial solutions to a p-Laplacian problem; with a null boundary Dirichlet condition. The considered domain is the unit ball in R^N. Theorem 2.5 is a personal contribution. Besides, we complete the details of the ideas of Joseph A. Iaia in [Joseph A. Iaia. Radial solu tions to a p-laplacian dirichlet problem. Applicable Analysis, 58(3):335–350, 1995].eng
dc.description.curricularareaMatemáticas.Sede Medellín
dc.description.degreelevelMaestría
dc.description.degreenameMagíster en Ciencias - Matemáticas
dc.format.extent52 páginas
dc.format.mimetypeapplication/pdf
dc.identifier.instnameUniversidad Nacional de Colombiaspa
dc.identifier.reponameRepositorio Institucional Universidad Nacional de Colombiaspa
dc.identifier.repourlhttps://repositorio.unal.edu.co/spa
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/89769
dc.publisherUniversidad Nacional de Colombia
dc.publisher.branchUniversidad Nacional de Colombia - Sede Medellín
dc.publisher.facultyFacultad de Ciencias
dc.publisher.placeMedellín, Colombia
dc.publisher.programMedellín - Ciencias - Maestría en Ciencias - Matemáticas
dc.relation.referencesH. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations. Universitext. Springer New York, 2010.
dc.relation.referencesAlfonso Castro, Jorge Cossio, Sigifredo Herrón, and Carlos Vélez. Infini tely many radial solutions for a p-laplacian problem with negative weight at the origin. Electronic Journal of Differential Equations, Special Issue 01:101–114, 2021.
dc.relation.referencesJorge Cossio, Sigifredo Herrón, and Carlos Vélez. Infinitely many radial solutions for a p-laplacian problem p-superlinear at the origin. Journal of Mathematical Analysis and Applications, 376:741–749, 2011.
dc.relation.referencesJ.I. Díaz. Nonlinear Partial Differential Equations and Free Boundaries: Elliptic equations, volume I of Nonlinear Partial Differential Equations and Free Boundaries. Pitman, 1985.
dc.relation.referencesPetr Girg, Lukáš Kotrla, and Anežka Švandová. The p-laplacian: pheno menological modelling of the flow in porous media and cfd simulations, 2024.
dc.relation.referencesSigifredo Herrón and Emer Lopera. Signed radial solutions for a weigh ted p-superlinear problem. Electronic Journal of Differential Equations, 2014(24):1–13, 2014.
dc.relation.referencesJoseph A. Iaia. Radial solutions to a p-laplacian dirichlet problem. Ap plicable Analysis, 58(3):335–350, 1995.
dc.relation.referencesGary M. Lieberman. Boundary regularity for solutions of degenerate elliptic equations. Nonlinear Analysis, 12:1203–1219, 1988.
dc.relation.referencesL. Nirenberg. Variational and topological methods in nonlinear pro blems. Bulletin of the American Mathematical Society, 4(3):267–302, 1981.
dc.relation.referencesS. H. Rasouli. An ecological model with the p-laplacian and diffusion. International Journal of Biomathematics, 09(01):1650008, 2016.
dc.relation.referencesWolfgang Reichel and Wolfgang Walter. Radial solutions of equations and inequalities involving the p-laplacian. Journal of Inequalities and Applications, 1:47–71, 1997.
dc.relation.referencesPeter Tolksdorf. Regularity for a more general class of quasilinear elliptic equations. Journal of Differential Equations, 51:126–150, 1984.
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.licenseReconocimiento 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.ddc510 - Matemáticas::515 - Análisis
dc.subject.ddc510 - Matemáticas
dc.subject.lembTransformaciones de Laplace
dc.subject.lembEcuaciones diferenciales
dc.subject.lembAnálisis funcional
dc.subject.proposalp-Laplacianospa
dc.subject.proposalSolución radialspa
dc.subject.proposalCuasilinealspa
dc.subject.proposalp-Laplacianeng
dc.subject.proposalRadial solutioneng
dc.subject.proposalQuasilineareng
dc.titleMúltiples soluciones radiales para una EDP cuasilineal.spa
dc.title.translatedMultiple radial solutions to a quasilinear PDE.eng
dc.typeTrabajo de grado - Maestría
dc.type.coarhttp://purl.org/coar/resource_type/c_bdcc
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.contentText
dc.type.driverinfo:eu-repo/semantics/masterThesis
dc.type.redcolhttp://purl.org/redcol/resource_type/TM
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dcterms.audience.professionaldevelopmentEstudiantes
dcterms.audience.professionaldevelopmentEspecializada
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2

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