dc.contributorVélez López, Carlos Augusto
dc.contributorAgudelo Rico, Oscar Iván
dc.contributorAgudelo Rico, Óscar Iván [0000-0002-2588-9999]
dc.creatorDurango Higinio, Juan Diego
dc.date.accessioned2023-02-07T18:32:17Z
dc.date.available2023-02-07T18:32:17Z
dc.date.created2023-02-07T18:32:17Z
dc.date.issued2022-08-29
dc.identifierhttps://repositorio.unal.edu.co/handle/unal/83362
dc.identifierUniversidad Nacional de Colombia
dc.identifierRepositorio Institucional Universidad Nacional de Colombia
dc.identifierhttps://repositorio.unal.edu.co/
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)
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.
dc.languagespa
dc.publisherUniversidad Nacional de Colombia
dc.publisherMedellín - Ciencias - Maestría en Ciencias - Matemáticas
dc.publisherFacultad de Ciencias
dc.publisherMedellín, Colombia
dc.publisherUniversidad Nacional de Colombia - Sede Medellín
dc.relationRedCol
dc.relationLaReferencia
dc.relationBillingsley, Patrick: Convergence of Probability Measures, 2nd Ed. John Wiley & Sons Inc., 1999. – ISBN 0–471–19745–9
dc.relationBrezis, Haim: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, 2010. – ISBN 978–0–387–70913–0
dc.relationBrezis, Haim ; Lieb, Elliot: A relation between pointwise convergence of functions and convergence of functionals. (1983)
dc.relationBurrill, Claude W.: Measure, Integration, and Probability. McGraw Hill, 1972. – ISBN 978–0070092235
dc.relationChabrowski, J.: Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents. (1994)
dc.relationChabrowski, Jan: Variational Methods for Potential Operator Equations With Applications to Nonlinear Elliptic Equations. Walter de Gruyter, 1997. – ISBN 3–11–015269–X
dc.relationDrábek, Pavel ; Milota, Jaroslav: Methods of Nonlinear Analysis: Applications to Differential Equations. Birkhäuser, 2007. – ISBN 978–3–0348–0386– 1
dc.relationFolland, Gerald B.: Real Analysis: Modern Techniques and Their Applications. Wiley, 2007. – ISBN 978–0471317166
dc.relationJones, Frank: Lebesgue Integration on Euclidean Spaces. Jones Bartlett Learning, 2001. – ISBN 0–7637–1708–8
dc.relationKavian, Otared: Introduction à la théorie des points critiques. Springer, 1993. – ISBN 978–3–540–59619–6
dc.relationKreyszig, Erwin: Introdutory Functional Analysis with Applications. Wiley, 1989. – ISBN 978–0–471–50459–7
dc.relationLages Lima, Elon: Espacos métricos. Edgard Blücher, Ltda, 1977. – ISBN 978–8524401589
dc.relationLions, Pierre-Louis: The concentration-compactness principle in the calculus of variations. The Limit Case, Part I. (1984)
dc.relationLions, Pierre-Louis: The concentration-compactness principle in the calculus of variations. The Limit Case, Part II. (1984)
dc.relationLions, Pierre-Louis: The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. (1984)
dc.relationLions, Pierre-Louis: The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 2. (1984)
dc.relationLévy, Paul-Pierre: Théorie de l’addition des variables aléatoires. Gauthiers-Villars, Paris. (1954)
dc.relationMunkres, James: Topology, 2nd Ed. Pearson, 2014. – ISBN 978–1–292–02362–5
dc.relationNestruev, Jet: Smooth Manifolds and Observables. Springer, 2000. – ISBN 0–387–95543–7
dc.relationParini, Enea ; Salort, Ariel: Compactness and dichotomy in nonlocal shape optimization. (2018)
dc.relationRudin, Walter: Principles of Mathematical Analysis. McGraw Hill, 1976. – ISBN 0–07–085613–3
dc.relationRudin,Walter: Real and Complex Analysis. McGraw Hill, 1986. – ISBN 0–07–100276–6
dc.relationSchindler, I. ; Tintarev, K.: An abstract version of the concentration-compactness principle. (2002)
dc.relationStruwe, Michael: Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. Springer, 2008. – ISBN 978–3–540–74012–4
dc.relationTalenti, Giorgio: Best Constant in Sobolev Inequality. (1976)
dc.relationWillem, Michel: Minimax Theorems. Birkhäuser, 1996. – ISBN 978–0–8176–3913–6
dc.relationWillem, Michel: Functional Analysis: Fundamentals and Applications. Birkhäuser, 2013. – ISBN 978–1–4614–7003–8
dc.rightsReconocimiento 4.0 Internacional
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titlePrincipio de concentración-compacidad y aplicaciones
dc.typeTrabajo de grado - Maestría


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