Principio de concentración-compacidad y aplicaciones

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dc.contributor.advisorVélez López, Carlos Augusto
dc.contributor.advisorAgudelo Rico, Oscar Iván
dc.contributor.authorDurango Higinio, Juan Diego
dc.contributor.orcidAgudelo Rico, Óscar Iván [0000-0002-2588-9999]spa
dc.date.accessioned2023-02-07T18:32:17Z
dc.date.available2023-02-07T18:32:17Z
dc.date.issued2022-08-29
dc.descriptiondiagramasspa
dc.description.abstractEn el presente trabajo estudiamos el Principio de Concentración-Compacidad, desarrollado por el matemático francés Pierre-Louis Lions, y realizamos algunas aplicaciones en las áreas de las Ecuaciones Diferenciales Parciales y el Análisis No Lineal. (Texto tomado de la fuente)spa
dc.description.abstractIn this work we study the Concentration-Compactness Principle, developed by the french mathematician Pierre-Louis Lions, and we give some applications to Partial Differential Equations and Nonlinear Analysis.eng
dc.description.curricularareaÁrea Curricular en Matemáticasspa
dc.description.degreelevelMaestríaspa
dc.description.degreenameMagíster en Ciencias - Matemáticasspa
dc.description.researchareaAnálisis No Linealspa
dc.format.extentxiii, 120 páginasspa
dc.format.mimetypeapplication/pdfspa
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/83362
dc.language.isospaspa
dc.publisherUniversidad Nacional de Colombiaspa
dc.publisher.branchUniversidad Nacional de Colombia - Sede Medellínspa
dc.publisher.facultyFacultad de Cienciasspa
dc.publisher.placeMedellín, Colombiaspa
dc.publisher.programMedellín - Ciencias - Maestría en Ciencias - Matemáticasspa
dc.relation.indexedRedColspa
dc.relation.indexedLaReferenciaspa
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dc.relation.referencesLions, Pierre-Louis: The concentration-compactness principle in the calculus of variations. The Limit Case, Part I. (1984)spa
dc.relation.referencesLions, Pierre-Louis: The concentration-compactness principle in the calculus of variations. The Limit Case, Part II. (1984)spa
dc.relation.referencesLions, Pierre-Louis: The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. (1984)spa
dc.relation.referencesLions, Pierre-Louis: The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 2. (1984)spa
dc.relation.referencesLévy, Paul-Pierre: Théorie de l’addition des variables aléatoires. Gauthiers-Villars, Paris. (1954)spa
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dc.relation.referencesParini, Enea ; Salort, Ariel: Compactness and dichotomy in nonlocal shape optimization. (2018)spa
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dc.relation.referencesSchindler, I. ; Tintarev, K.: An abstract version of the concentration-compactness principle. (2002)spa
dc.relation.referencesStruwe, Michael: Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. Springer, 2008. – ISBN 978–3–540–74012–4spa
dc.relation.referencesTalenti, Giorgio: Best Constant in Sobolev Inequality. (1976)spa
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dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.licenseReconocimiento 4.0 Internacionalspa
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/spa
dc.subject.ddc510 - Matemáticasspa
dc.subject.lembEcuaciones diferenciales no lineales
dc.subject.lembDifferential equations, nonlinear
dc.subject.otherEcuaciones Diferenciales Parciales
dc.subject.proposalPrincipio de concentración-compacidadspa
dc.subject.proposalMinimizaciónspa
dc.subject.proposalEcuaciones diferenciales parcialesspa
dc.subject.proposalProblema de la constante óptimaspa
dc.subject.proposalConcentration-compactness principleeng
dc.subject.proposalMinimizationeng
dc.subject.proposalPartial differential equationseng
dc.subject.proposalOptimal constant problemeng
dc.titlePrincipio de concentración-compacidad y aplicacionesspa
dc.title.translatedConcentration-compactness principle and applicationseng
dc.typeTrabajo de grado - Maestríaspa
dc.type.coarhttp://purl.org/coar/resource_type/c_bdccspa
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aaspa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/masterThesisspa
dc.type.redcolhttp://purl.org/redcol/resource_type/TMspa
dc.type.versioninfo:eu-repo/semantics/acceptedVersionspa
dcterms.audience.professionaldevelopmentEstudiantesspa
dcterms.audience.professionaldevelopmentInvestigadoresspa
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa
oaire.awardtitleProblemas en ecuaciones diferenciales de tipo elíptico o dispersivo, Hermes 53815spa

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