Principio de concentración-compacidad y aplicaciones
diagramas
- Autores:
-
Durango Higinio, Juan Diego
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/83362
- Palabra clave:
- 510 - Matemáticas
Ecuaciones Diferenciales Parciales
Ecuaciones diferenciales no lineales
Differential equations, nonlinear
Principio de concentración-compacidad
Minimización
Ecuaciones diferenciales parciales
Problema de la constante óptima
Concentration-compactness principle
Minimization
Partial differential equations
Optimal constant problem
- Rights
- openAccess
- License
- Reconocimiento 4.0 Internacional
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| dc.title.spa.fl_str_mv |
Principio de concentración-compacidad y aplicaciones |
| dc.title.translated.eng.fl_str_mv |
Concentration-compactness principle and applications |
| title |
Principio de concentración-compacidad y aplicaciones |
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Principio de concentración-compacidad y aplicaciones 510 - Matemáticas Ecuaciones Diferenciales Parciales Ecuaciones diferenciales no lineales Differential equations, nonlinear Principio de concentración-compacidad Minimización Ecuaciones diferenciales parciales Problema de la constante óptima Concentration-compactness principle Minimization Partial differential equations Optimal constant problem |
| title_short |
Principio de concentración-compacidad y aplicaciones |
| title_full |
Principio de concentración-compacidad y aplicaciones |
| title_fullStr |
Principio de concentración-compacidad y aplicaciones |
| title_full_unstemmed |
Principio de concentración-compacidad y aplicaciones |
| title_sort |
Principio de concentración-compacidad y aplicaciones |
| dc.creator.fl_str_mv |
Durango Higinio, Juan Diego |
| dc.contributor.advisor.none.fl_str_mv |
Vélez López, Carlos Augusto Agudelo Rico, Oscar Iván |
| dc.contributor.author.none.fl_str_mv |
Durango Higinio, Juan Diego |
| dc.contributor.orcid.spa.fl_str_mv |
Agudelo Rico, Óscar Iván [0000-0002-2588-9999] |
| dc.subject.ddc.spa.fl_str_mv |
510 - Matemáticas |
| topic |
510 - Matemáticas Ecuaciones Diferenciales Parciales Ecuaciones diferenciales no lineales Differential equations, nonlinear Principio de concentración-compacidad Minimización Ecuaciones diferenciales parciales Problema de la constante óptima Concentration-compactness principle Minimization Partial differential equations Optimal constant problem |
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Ecuaciones Diferenciales Parciales |
| dc.subject.lemb.none.fl_str_mv |
Ecuaciones diferenciales no lineales Differential equations, nonlinear |
| dc.subject.proposal.spa.fl_str_mv |
Principio de concentración-compacidad Minimización Ecuaciones diferenciales parciales Problema de la constante óptima |
| dc.subject.proposal.eng.fl_str_mv |
Concentration-compactness principle Minimization Partial differential equations Optimal constant problem |
| description |
diagramas |
| publishDate |
2022 |
| dc.date.issued.none.fl_str_mv |
2022-08-29 |
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2023-02-07T18:32:17Z |
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2023-02-07T18:32:17Z |
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Trabajo de grado - Maestría |
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info:eu-repo/semantics/masterThesis |
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Universidad Nacional de Colombia |
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Repositorio Institucional Universidad Nacional de Colombia |
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https://repositorio.unal.edu.co/ |
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Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia |
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spa |
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RedCol LaReferencia |
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Billingsley, Patrick: Convergence of Probability Measures, 2nd Ed. John Wiley & Sons Inc., 1999. – ISBN 0–471–19745–9 Brezis, Haim: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, 2010. – ISBN 978–0–387–70913–0 Brezis, Haim ; Lieb, Elliot: A relation between pointwise convergence of functions and convergence of functionals. (1983) Burrill, Claude W.: Measure, Integration, and Probability. McGraw Hill, 1972. – ISBN 978–0070092235 Chabrowski, J.: Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents. (1994) Chabrowski, Jan: Variational Methods for Potential Operator Equations With Applications to Nonlinear Elliptic Equations. Walter de Gruyter, 1997. – ISBN 3–11–015269–X Drábek, Pavel ; Milota, Jaroslav: Methods of Nonlinear Analysis: Applications to Differential Equations. Birkhäuser, 2007. – ISBN 978–3–0348–0386– 1 Folland, Gerald B.: Real Analysis: Modern Techniques and Their Applications. Wiley, 2007. – ISBN 978–0471317166 Jones, Frank: Lebesgue Integration on Euclidean Spaces. Jones Bartlett Learning, 2001. – ISBN 0–7637–1708–8 Kavian, Otared: Introduction à la théorie des points critiques. Springer, 1993. – ISBN 978–3–540–59619–6 Kreyszig, Erwin: Introdutory Functional Analysis with Applications. Wiley, 1989. – ISBN 978–0–471–50459–7 Lages Lima, Elon: Espacos métricos. Edgard Blücher, Ltda, 1977. – ISBN 978–8524401589 Lions, Pierre-Louis: The concentration-compactness principle in the calculus of variations. The Limit Case, Part I. (1984) Lions, Pierre-Louis: The concentration-compactness principle in the calculus of variations. The Limit Case, Part II. (1984) Lions, Pierre-Louis: The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. (1984) Lions, Pierre-Louis: The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 2. (1984) Lévy, Paul-Pierre: Théorie de l’addition des variables aléatoires. Gauthiers-Villars, Paris. (1954) Munkres, James: Topology, 2nd Ed. Pearson, 2014. – ISBN 978–1–292–02362–5 Nestruev, Jet: Smooth Manifolds and Observables. Springer, 2000. – ISBN 0–387–95543–7 Parini, Enea ; Salort, Ariel: Compactness and dichotomy in nonlocal shape optimization. (2018) Rudin, Walter: Principles of Mathematical Analysis. McGraw Hill, 1976. – ISBN 0–07–085613–3 Rudin,Walter: Real and Complex Analysis. McGraw Hill, 1986. – ISBN 0–07–100276–6 Schindler, I. ; Tintarev, K.: An abstract version of the concentration-compactness principle. (2002) Struwe, Michael: Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. Springer, 2008. – ISBN 978–3–540–74012–4 Talenti, Giorgio: Best Constant in Sobolev Inequality. (1976) Willem, Michel: Minimax Theorems. Birkhäuser, 1996. – ISBN 978–0–8176–3913–6 Willem, Michel: Functional Analysis: Fundamentals and Applications. Birkhäuser, 2013. – ISBN 978–1–4614–7003–8 |
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Reconocimiento 4.0 Internacional |
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xiii, 120 páginas |
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Universidad Nacional de Colombia |
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Medellín - Ciencias - Maestría en Ciencias - Matemáticas |
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Facultad de Ciencias |
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Medellín, Colombia |
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Universidad Nacional de Colombia - Sede Medellín |
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Reconocimiento 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Vélez López, Carlos Augusto307ed4a067d93d3c61c5543492c0517eAgudelo Rico, Oscar Iván07389b3b1199ca529362e4748c7b93a7600Durango Higinio, Juan Diego52f1d3ed51712489969794dc2ddd2345Agudelo Rico, Óscar Iván [0000-0002-2588-9999]2023-02-07T18:32:17Z2023-02-07T18:32:17Z2022-08-29https://repositorio.unal.edu.co/handle/unal/83362Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/diagramasEn 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)In 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.MaestríaMagíster en Ciencias - MatemáticasAnálisis No LinealÁrea Curricular en Matemáticasxiii, 120 páginasapplication/pdfspaUniversidad Nacional de ColombiaMedellín - Ciencias - Maestría en Ciencias - MatemáticasFacultad de CienciasMedellín, ColombiaUniversidad Nacional de Colombia - Sede Medellín510 - MatemáticasEcuaciones Diferenciales ParcialesEcuaciones diferenciales no linealesDifferential equations, nonlinearPrincipio de concentración-compacidadMinimizaciónEcuaciones diferenciales parcialesProblema de la constante óptimaConcentration-compactness principleMinimizationPartial differential equationsOptimal constant problemPrincipio de concentración-compacidad y aplicacionesConcentration-compactness principle and applicationsTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMRedColLaReferenciaBillingsley, Patrick: Convergence of Probability Measures, 2nd Ed. John Wiley & Sons Inc., 1999. – ISBN 0–471–19745–9Brezis, Haim: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, 2010. – ISBN 978–0–387–70913–0Brezis, Haim ; Lieb, Elliot: A relation between pointwise convergence of functions and convergence of functionals. (1983)Burrill, Claude W.: Measure, Integration, and Probability. McGraw Hill, 1972. – ISBN 978–0070092235Chabrowski, J.: Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents. (1994)Chabrowski, Jan: Variational Methods for Potential Operator Equations With Applications to Nonlinear Elliptic Equations. Walter de Gruyter, 1997. – ISBN 3–11–015269–XDrábek, Pavel ; Milota, Jaroslav: Methods of Nonlinear Analysis: Applications to Differential Equations. Birkhäuser, 2007. – ISBN 978–3–0348–0386– 1Folland, Gerald B.: Real Analysis: Modern Techniques and Their Applications. Wiley, 2007. – ISBN 978–0471317166Jones, Frank: Lebesgue Integration on Euclidean Spaces. Jones Bartlett Learning, 2001. – ISBN 0–7637–1708–8Kavian, Otared: Introduction à la théorie des points critiques. Springer, 1993. – ISBN 978–3–540–59619–6Kreyszig, Erwin: Introdutory Functional Analysis with Applications. Wiley, 1989. – ISBN 978–0–471–50459–7Lages Lima, Elon: Espacos métricos. Edgard Blücher, Ltda, 1977. – ISBN 978–8524401589Lions, Pierre-Louis: The concentration-compactness principle in the calculus of variations. The Limit Case, Part I. (1984)Lions, Pierre-Louis: The concentration-compactness principle in the calculus of variations. The Limit Case, Part II. (1984)Lions, Pierre-Louis: The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. (1984)Lions, Pierre-Louis: The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 2. (1984)Lévy, Paul-Pierre: Théorie de l’addition des variables aléatoires. Gauthiers-Villars, Paris. (1954)Munkres, James: Topology, 2nd Ed. Pearson, 2014. – ISBN 978–1–292–02362–5Nestruev, Jet: Smooth Manifolds and Observables. Springer, 2000. – ISBN 0–387–95543–7Parini, Enea ; Salort, Ariel: Compactness and dichotomy in nonlocal shape optimization. (2018)Rudin, Walter: Principles of Mathematical Analysis. McGraw Hill, 1976. – ISBN 0–07–085613–3Rudin,Walter: Real and Complex Analysis. McGraw Hill, 1986. – ISBN 0–07–100276–6Schindler, I. ; Tintarev, K.: An abstract version of the concentration-compactness principle. (2002)Struwe, Michael: Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. Springer, 2008. – ISBN 978–3–540–74012–4Talenti, Giorgio: Best Constant in Sobolev Inequality. (1976)Willem, Michel: Minimax Theorems. Birkhäuser, 1996. – ISBN 978–0–8176–3913–6Willem, Michel: Functional Analysis: Fundamentals and Applications. Birkhäuser, 2013. – ISBN 978–1–4614–7003–8Problemas en ecuaciones diferenciales de tipo elíptico o dispersivo, Hermes 53815EstudiantesInvestigadoresLICENSElicense.txtlicense.txttext/plain; charset=utf-85879https://repositorio.unal.edu.co/bitstream/unal/83362/3/license.txteb34b1cf90b7e1103fc9dfd26be24b4aMD53ORIGINAL1038411097.2022.pdf1038411097.2022.pdfTesis de Maestría en Ciencias - Matemáticasapplication/pdf1049722https://repositorio.unal.edu.co/bitstream/unal/83362/4/1038411097.2022.pdfa96a449371b1f25c9a2e90bd8b39b20fMD54THUMBNAIL1038411097.2022.pdf.jpg1038411097.2022.pdf.jpgGenerated Thumbnailimage/jpeg4006https://repositorio.unal.edu.co/bitstream/unal/83362/5/1038411097.2022.pdf.jpg73eeb076faee1b58d441d934abd8362dMD55unal/83362oai:repositorio.unal.edu.co:unal/833622023-08-15 23:04:39.974Repositorio Institucional Universidad Nacional de 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