Edit Profile (opens in new tab) Ekeland, Ivar Compute Distance To: Compute Author ID: ekeland.ivar Published as: Ekeland, Ivar; Ekeland, I. Homepage: https://www.ceremade.dauphine.fr/~ekeland/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 172 Publications since 1968, including 17 Books 9 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 63 Co-Authors with 107 Joint Publications 1,940 Co-Co-Authors all top 5 Co-Authors 75 single-authored 11 Chiappori, Pierre-André 10 Hofer, Helmut H. W. 9 Aubin, Jean-Pierre 7 D’Onofrio, Biancamaria 6 Carlier, Guillaume 6 Touzi, Nizar 5 Ambrosetti, Antonio 5 Clarke, Francis H. 5 Lasry, Jean-Michel 5 Scheinkman, José Alexandre 4 Carmona, René A. 4 Cinlar, Erhan 4 Coti Zelati, Vittorio 4 Dell’Antonio, Gian Fausto 4 Jouini, Elyès 4 Temam, Roger Meyer 3 Brézis, Haïm 3 Galichon, Alfred 3 Ghoussoub, Nassif A. 3 Séré, Eric 2 Bensoussan, Alain 2 Berestycki, Henri 2 Chang, Kung-Ching 2 Henry, Marc 2 Kubler, Felix 2 Lassoued, Leila 2 Lebourg, Gerard 2 Nirenberg, Louis 2 Pirvu, Traian A. 2 Polemarchakis, Herakles M. 2 Rabinowitz, Paul Henry 2 Schachermayer, Walter 2 Taflin, Erik 1 Agmon, Shmuel 1 Alasseur, Clemence 1 Aloqeili, Marwan 1 Asheim, Geir B. 1 Attouch, Hedy 1 Bates, Peter W. 1 Birindelli, Isabeau 1 Bouchard, Bruno 1 Browning, Martin J. 1 Caffarelli, Luis Ángel 1 Chang, Sun-Yung Alice 1 Coron, Jean-Michel 1 Courty, Pascal 1 Guedes de Figueiredo, Djairo 1 Djitté, Ngalla 1 Elie, Romuald 1 Fefferman, Charles Louis 1 Guesnerie, Roger 1 Hernández-Santibáñez, Nicolás 1 Kinderlehrer, David 1 Klainerman, Sergiu 1 Kohn, Joseph J. 1 Kohn, Robert Vita 1 Lautier, Delphine 1 Lax, Peter David 1 Lazrak, Ali 1 Li, YanYan 1 Lin, Fang Hua 1 Lions, Pierre-Louis 1 Long, Yiming 1 Mathlouthi, Salem 1 Mbodji, Oumar 1 Moreau, Jean Jacques 1 Morel, Jean-Michel 1 Moreno-Bromberg, Santiago 1 Ni, Wei-Ming 1 Possamaï, Dylan 1 Queyranne, Maurice 1 Shatah, Jalal 1 Tarantello, Gabriella 1 Tehrani, T. 1 Tian, Gang 1 Turnbull, Thomas 1 Valadier, Michel 1 Varadhan, S. R. Srinivasa 1 Villeneuve, Bertrand 1 Yau, Shing-Tung 1 Yip, Cheuk Wai 1 Zehnder, Eduard J. 1 Zhou, Qinglong all top 5 Serials 18 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 11 Comptes Rendus de l’Académie des Sciences. Série I 9 Economic Theory 5 Journal of Differential Equations 5 Journal of Mathematical Economics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Lecture Notes in Mathematics 3 Mathematics and Financial Economics 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Econometrica 2 Journal of Economic Theory 2 Mathematics of Operations Research 2 Mathematische Zeitschrift 2 SIAM Journal on Control and Optimization 2 Bulletin of the American Mathematical Society. New Series 2 Milan Journal of Mathematics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 The Mathematical Intelligencer 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Gazette des Mathématiciens 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Ricerche di Matematica 1 Topology 1 Transactions of the American Mathematical Society 1 The Annals of Applied Probability 1 Journal of Global Optimization 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Finance and Stochastics 1 Mathematical Finance 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Journal of Mathematical Fluid Mechanics 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Nonlinear Analysis. Real World Applications 1 Decisions in Economics and Finance 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Classics in Applied Mathematics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Foundations and Trends in Microeconomics 1 SIAM Journal on Financial Mathematics 1 Matapli 1 Statistics & Risk Modeling 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 63 Calculus of variations and optimal control; optimization (49-XX) 59 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Dynamical systems and ergodic theory (37-XX) 36 Global analysis, analysis on manifolds (58-XX) 29 Mechanics of particles and systems (70-XX) 26 Operations research, mathematical programming (90-XX) 24 Ordinary differential equations (34-XX) 17 General and overarching topics; collections (00-XX) 16 Partial differential equations (35-XX) 16 Functional analysis (46-XX) 10 Probability theory and stochastic processes (60-XX) 9 Operator theory (47-XX) 8 History and biography (01-XX) 8 Systems theory; control (93-XX) 6 Differential geometry (53-XX) 4 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 6,219 times in 5,084 Documents Cited by ▼ Year ▼ On the variational principle. Zbl 0286.49015Ekeland, I. 1,032 1974 Convex analysis and variational problems. Translated by Minerva Translations, Ltd., London. Zbl 0322.90046Ekeland, Ivar; Temam, Roger 726 1976 Applied nonlinear analysis. Zbl 0641.47066Aubin, Jean-Pierre; Ekeland, Ivar 665 1984 Nonconvex minimization problems. Zbl 0441.49011Ekeland, Ivar 475 1979 Convex analysis and variational problems. Unabridged, corrected republication of the 1976 English original. Zbl 0939.49002Ekeland, Ivar; Témam, Roger 466 1999 Convex analysis and variational problems. (Analyse convexe et problèmes variationnels.) Zbl 0281.49001Ekeland, Ivar; Temam, Roger 350 1974 Convexity methods in Hamiltonian mechanics. Zbl 0707.70003Ekeland, Ivar 325 1990 A variational approach to homoclinic orbits in Hamiltonian systems. Zbl 0731.34050Coti Zelati, Vittorio; Ekeland, Ivar; Séré, Eric 181 1990 Investment and consumption without commitment. Zbl 1177.91123Ekeland, Ivar; Pirvu, Traian A. 109 2008 Selected new aspects of the calculus of variations in the large. Zbl 1064.35054Ekeland, Ivar; Ghoussoub, Nassif 94 2002 Sur les problèmes variationnels. Zbl 0249.49004Ekeland, Ivar 87 1972 Hamiltonian trajectories having prescribed minimal period. Zbl 0403.70016Clarke, F. H.; Ekeland, I. 87 1980 On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface. Zbl 0449.70014Ekeland, Ivar; Lasry, Jean-Michel 80 1980 Symplectic topology and Hamiltonian dynamics. Zbl 0641.53035Ekeland, I.; Hofer, H. 73 1989 Convex Hamiltonian energy surfaces and their periodic trajectories. Zbl 0641.58038Ekeland, I.; Hofer, H. 68 1987 Time-consistent portfolio management. Zbl 1257.91040Ekeland, Ivar; Mbodji, Oumar; Pirvu, Traian A. 68 2012 Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems. Zbl 0594.58035Ekeland, I.; Hofer, H. 64 1985 Generic Frechet-differentiability and perturbed optimization problems in Banach spaces. Zbl 0313.46017Ekeland, Ivar; Lebourg, Gerard 61 1977 Une théorie de Morse pour les systèmes hamiltoniens convexes. Zbl 0537.58018Ekeland, Ivar 51 1984 The golden rule when preferences are time inconsistent. Zbl 1255.91249Ekeland, Ivar; Lazrak, Ali 47 2010 Infinite-dimensional optimization and convexity. Zbl 0565.49003Ekeland, Ivar; Turnbull, Thomas 45 1983 Symplectic topology and Hamiltonian dynamics. II. Zbl 0729.53039Ekeland, Ivar; Hofer, Helmut 44 1990 Un principe variationnel associe à certaines équations paraboliques. Le cas independant du temps. Zbl 0332.49032Brézis, Haïm; Ekeland, Ivar 43 1976 Symmetry breaking in Hamiltonian systems. Zbl 0606.58043Ambrosetti, A.; Coti Zelati, V.; Ekeland, I. 41 1987 Nonlinear oscillations and boundary value problems for Hamiltonian systems. Zbl 0514.34032Clarke, Frank H.; Ekeland, I. 41 1982 Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz. Zbl 0446.70019Ekeland, Ivar 38 1979 Convex analysis and variational problems. Translated from the English by V. M. Tikhomirov. (Выпуклый анализ и вариационные проблемы.) Zbl 0546.90057Ekeland, Ivar; Temam, Roger 38 1979 Un principle variationnel associe à certaines équations paraboliques. Le cas dependant du temps. Zbl 0334.35040Brézis, Haïm; Ekeland, Ivar 37 1976 Applied nonlinear analysis. Reprint of the 1984 original. Zbl 1115.47049Aubin, Jean-Pierre; Ekeland, Ivar 36 2006 Comonotonic measures of multivariate risks. Zbl 1278.91085Ekeland, Ivar; Galichon, Alfred; Henry, Marc 33 2012 Subharmonics for convex nonautonomous Hamiltonian systems. Zbl 0601.58035Ekeland, I.; Hofer, H. 30 1987 Matching for teams. Zbl 1183.91112Carlier, G.; Ekeland, I. 28 2010 A theory of bond portfolios. Zbl 1125.91051Ekeland, Ivar; Taflin, Erik 27 2005 An index theory for periodic solutions of convex Hamiltonian systems. Zbl 0596.34023Ekeland, I. 27 1986 On the Malliavin approach to Monte Carlo approximation of conditional expectations. Zbl 1051.60061Bouchard, Bruno; Ekeland, Ivar; Touzi, Nizar 26 2004 Discontinuites de champs hamiltoniens et existence de solutions optimales en calcul des variations. Zbl 0447.49015Ekeland, Ivar 26 1977 Estimates of the duality gap in nonconvex optimization. Zbl 0366.90102Aubin, J. P.; Ekeland, I. 25 1976 Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimensional types. Zbl 1203.91153Ekeland, Ivar 20 2010 Sur le contrôle optimal de systèmes gouvernés par des équations élliptiques. (On optimal control of systems gouverned by elliptic equations.). Zbl 0227.49001Ekeland, I. 19 1972 Legendre duality in nonconvex optimization and calculus of variations. Zbl 0377.90089Ekeland, Ivar 19 1977 Les systèmes hamiltoniens convexes et pairs ne sont pas ergodiques en général. (Convex symmetric Hamiltonian systems are not generally ergodic). Zbl 0768.70014Dell’Antonio, Gianfausto; D’Onofrio, Biancamaria; Ekeland, Ivar 18 1992 Transversality conditions for some infinite horizon discrete time optimization problems. Zbl 0593.49021Ekeland, Ivar; Scheinkman, José Alexandre 18 1986 An inverse function theorem in Fréchet spaces. Zbl 1256.47037Ekeland, Ivar 17 2011 The identification of preferences from equilibrium prices under uncertainty. Zbl 1127.91367Kübler, F.; Chiappori, P.-A.; Ekeland, I.; Polemarchakis, H. M. 16 2002 Aggregation and market demand: an exterior differential calculus viewpoint. Zbl 1055.91533Chiappori, P. A.; Ekeland, I. 16 1999 Law invariant risk measures on \(L^\infty(\mathbb R^d)\). Zbl 1232.91345Ekeland, Ivar; Schachermayer, Walter 15 2011 The micro economics of group behavior: General characterization. Zbl 1141.91584Chiappori, P. A.; Ekeland, I. 14 2006 The Hopf-Rinow theorem in infinite dimension. Zbl 0393.58004Ekeland, Ivar 14 1978 An optimal matching problem. Zbl 1106.49054Ekeland, Ivar 14 2005 The microeconomics of efficient group behavior: Identification\(^{1}\). Zbl 1182.91065Chiappori, P.-A.; Ekeland, I. 13 2009 Multiple solutions for a classical problem in the calculus of variations. Zbl 0872.49001Ekeland, I.; Ghoussoub, N.; Tehrani, T. 13 1996 Testable implications of general equilibrium theory: A differentiable approach. Zbl 1059.91059Chiappori, P.-A.; Ekeland, I.; Kübler, F.; Polemarchakis, H. M. 12 2004 Representation of set-valued mappings. Zbl 0246.54018Ekeland, I.; Valadier, M. 11 1971 Optimal derivatives design for mean-variance agents under adverse selection. Zbl 1173.91379Carlier, Guillaume; Ekeland, Ivar; Touzi, Nizar 11 2007 An algorithm for computing solutions of variational problems with global convexity constraints. Zbl 1188.65086Ekeland, Ivar; Moreno-Bromberg, Santiago 11 2010 A perturbation theory near convex Hamiltonian systems. Zbl 0476.34035Ekeland, I. 10 1983 Two symplectic fixed-point theorems with applications to Hamiltonian dynamics. Zbl 0709.58017Ekeland, I.; Hofer, H. 9 1989 Resource conservation across generations in a Ramsey-Chichilnisky model. Zbl 1367.91123Asheim, Geir B.; Ekeland, Ivar 8 2016 Multiplicité des trajectoires fermées de systèmes hamiltoniens connexes. (Multiplicity of closed trajectories of convex Hamiltonian systems). Zbl 0633.58034Ekeland, I.; Lassoued, L. 8 1987 Some variational problems arising from mathematical economics. Zbl 0659.90028Ekeland, Ivar 8 1988 The housing problem and revealed preference theory: duality and an application. Zbl 1285.91072Ekeland, Ivar; Galichon, Alfred 8 2013 Disaggregation of excess demand functions in incomplete markets. Zbl 0958.91016Chiappori, Pierre-André; Ekeland, Ivar 8 1999 Remarques sur les problèmes variationnels. Zbl 0259.49027Ekeland, Ivar 7 1973 A new class of problems in the calculus of variations. Zbl 1286.49025Ekeland, Ivar; Long, Yiming; Zhou, Qinglong 7 2013 Index estimates and critical points of functionals not satisfying Palais- Smale. Zbl 0725.58019Coti Zelati, Vittorio; Ekeland, Ivar; Lions, Pierre-Louis 7 1990 Duality in non convex variational problems. Zbl 0541.58022Ekeland, I.; Lasry, J. M. 7 1983 Individual excess demands. Zbl 1059.91056Chiappori, P. A.; Ekeland, I. 7 2004 Éléments d’économie mathématique. Zbl 0417.90002Ekeland, Ivar 5 1979 Equilibrium structure of a bidimensional asymmetric city. Zbl 1136.91023Carlier, G.; Ekeland, I. 5 2007 The economics and mathematics of aggregation: formal models of efficient group behavior. Zbl 1192.91004Chiappori, P. A.; Ekeland, Ivar 5 2009 Notes on optimal transportation. Zbl 1185.90019Ekeland, Ivar 5 2010 From Frank Ramsey to René Thom: a classical problem in the calculus of variations leading to an implicit differential equation. Zbl 1202.91087Ekeland, Ivar 5 2010 Problèmes variationnels non convexes en dualité. Zbl 0448.90063Ekeland, Ivar; Lasry, Jean-Michel 5 1980 A convex Darboux theorem. Zbl 1082.58501Ekeland, Ivar; Nirenberg, Louis 5 2002 Sur le nombre de points critiques de fonctions invariantes par des groupes. Zbl 0343.46035Ekeland, Ivar; Lasry, Jean-Michel 5 1976 The best of all possible worlds. Mathematics and destiny. Transl. from the 2000 French original. Zbl 1133.01002Ekeland, Ivar 5 2006 Paramètrisation en théorie de la commande. Zbl 0157.16003Ekeland, I. 4 1968 Relaxation de problèmes de contrôle pour des systèmes decrits par des équations aux dérivées partielles. Zbl 0199.48505Ekeland, Ivar 4 1970 Optimal transportation and the falsifiability of incompletely specified economic models. Zbl 1183.91137Ekeland, Ivar; Galichon, Alfred; Henry, Marc 4 2010 Second-order evolution equations associated with convex Hamiltonians. Zbl 0429.35042Aubin, J. P.; Ekeland, I. 4 1980 \(\mathbb{Z}_2\)-equivariant Ljusternik-Schnirelman theory for non-even functionals. Zbl 0907.58006Ekeland, I.; Ghoussoub, N. 4 1998 The structure of cities. Zbl 1073.91061Carlier, G.; Ekeland, I. 4 2004 Topologie différentielle et théorie des jeux. Zbl 0311.58003Ekeland, Ivar 4 1974 Hamiltonian systems with elliptic periodic orbits. Zbl 0687.58008D’Onoforio, Biancamaria; Ekeland, Ivar 3 1990 Formes équivalentes d’un problème relaxe. Zbl 0198.48802Ekeland, Ivar 3 1970 Sur certains problèmes de contrôle optimal. Zbl 0246.49008Ekeland, Ivar 3 1969 Oscillations de systèmes Hamiltoniens non linéaires. III. Zbl 0514.70025Ekeland, Ivar 3 1981 Minimisation de critères intégraux. Zbl 0321.49007Aubin, Jean-Pierre; Ekeland, Ivar 3 1975 Dual variational methods in non-convex optimization and differential equations. Zbl 0544.49010Ekeland, I. 3 1983 Optimal pits and optimal transportation. Zbl 1357.37091Ekeland, Ivar; Queyranne, Maurice 3 2015 The chaos. (Le chaos.) Zbl 1329.37001Ekeland, Ivar 3 2006 Paris-Princeton lectures on mathematical finance 2003. Zbl 1047.91002 2 2004 The \(\epsilon\)-variational principle revisited. Zbl 0721.49025Ekeland, I. 2 1990 Nonconvex duality. Zbl 0414.49014Ekeland, Ivar 2 1979 Some applications of the Cartan-Kähler theorem to economic theory. Zbl 1365.35184Ekeland, Ivar 2 2003 Response to Rogalski. Zbl 1209.91013Ekeland, Ivar 2 2010 Some lemmas about dynamical systems. Zbl 0515.58026Ekeland, I. 2 1983 A convex Darboux theorem. Zbl 1004.58501Chiappori, Pierre-André; Ekeland, Ivar 2 1997 Aggregation problems in consumer theory and exterior differential calculus. (Problèmes d’agrégation en théorie du consommateur et calcul différentiel extérieur.) Zbl 0864.90029Chiappori, Pierre-André; Ekeland, Ivar 2 1996 Une estimation à priori en programmation non convexe. Zbl 0295.90035Ekeland, Ivar 2 1974 A surjection theorem for maps with singular perturbation and loss of derivatives. Zbl 07367691Ekeland, Ivar; Séré, Éric 2 2021 An adverse selection approach to power pricing. Zbl 1443.91193Alasseur, Clémence; Ekeland, Ivar; ÉLie, Romuald; Hernández Santibáñez, Nicolás; Possamaï, Dylan 1 2020 Hedging pressure and speculation in commodity markets. Zbl 1422.91690Ekeland, Ivar; Lautier, Delphine; Villeneuve, Bertrand 1 2019 On the Euler-Lagrange equation in calculus of variations. Zbl 1388.49001Ekeland, Ivar 1 2018 Hamilton-Jacobi on the symplectic group. Zbl 1443.35023Ekeland, Ivar 2 2017 Resource conservation across generations in a Ramsey-Chichilnisky model. Zbl 1367.91123Asheim, Geir B.; Ekeland, Ivar 8 2016 Optimal pits and optimal transportation. Zbl 1357.37091Ekeland, Ivar; Queyranne, Maurice 3 2015 Optimal transport and the geometry of \(L^{1}(\mathbb{R}^{d})\). Zbl 1314.46019Ekeland, Ivar; Schachermayer, Walter 1 2014 The housing problem and revealed preference theory: duality and an application. Zbl 1285.91072Ekeland, Ivar; Galichon, Alfred 8 2013 A new class of problems in the calculus of variations. Zbl 1286.49025Ekeland, Ivar; Long, Yiming; Zhou, Qinglong 7 2013 Time-consistent portfolio management. Zbl 1257.91040Ekeland, Ivar; Mbodji, Oumar; Pirvu, Traian A. 68 2012 Comonotonic measures of multivariate risks. Zbl 1278.91085Ekeland, Ivar; Galichon, Alfred; Henry, Marc 33 2012 An inverse function theorem in Fréchet spaces. Zbl 1256.47037Ekeland, Ivar 17 2011 Law invariant risk measures on \(L^\infty(\mathbb R^d)\). Zbl 1232.91345Ekeland, Ivar; Schachermayer, Walter 15 2011 The golden rule when preferences are time inconsistent. Zbl 1255.91249Ekeland, Ivar; Lazrak, Ali 47 2010 Matching for teams. Zbl 1183.91112Carlier, G.; Ekeland, I. 28 2010 Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimensional types. Zbl 1203.91153Ekeland, Ivar 20 2010 An algorithm for computing solutions of variational problems with global convexity constraints. Zbl 1188.65086Ekeland, Ivar; Moreno-Bromberg, Santiago 11 2010 Notes on optimal transportation. Zbl 1185.90019Ekeland, Ivar 5 2010 From Frank Ramsey to René Thom: a classical problem in the calculus of variations leading to an implicit differential equation. Zbl 1202.91087Ekeland, Ivar 5 2010 Optimal transportation and the falsifiability of incompletely specified economic models. Zbl 1183.91137Ekeland, Ivar; Galichon, Alfred; Henry, Marc 4 2010 Response to Rogalski. Zbl 1209.91013Ekeland, Ivar 2 2010 The microeconomics of efficient group behavior: Identification\(^{1}\). Zbl 1182.91065Chiappori, P.-A.; Ekeland, I. 13 2009 The economics and mathematics of aggregation: formal models of efficient group behavior. Zbl 1192.91004Chiappori, P. A.; Ekeland, Ivar 5 2009 Investment and consumption without commitment. Zbl 1177.91123Ekeland, Ivar; Pirvu, Traian A. 109 2008 Optimal derivatives design for mean-variance agents under adverse selection. Zbl 1173.91379Carlier, Guillaume; Ekeland, Ivar; Touzi, Nizar 11 2007 Equilibrium structure of a bidimensional asymmetric city. Zbl 1136.91023Carlier, G.; Ekeland, I. 5 2007 Paris-Princeton lectures on mathematical finance 2004. Zbl 1121.91003 1 2007 Optimal bond portfolios. Zbl 1151.91506Ekeland, Ivar; Taflin, Erik 1 2007 Applied nonlinear analysis. Reprint of the 1984 original. Zbl 1115.47049Aubin, Jean-Pierre; Ekeland, Ivar 36 2006 The micro economics of group behavior: General characterization. Zbl 1141.91584Chiappori, P. A.; Ekeland, I. 14 2006 The best of all possible worlds. Mathematics and destiny. Transl. from the 2000 French original. Zbl 1133.01002Ekeland, Ivar 5 2006 The chaos. (Le chaos.) Zbl 1329.37001Ekeland, Ivar 3 2006 A duality theory for some non-convex functions of matrices. Zbl 1220.15012Ekeland, Ivar 1 2006 An inverse problem in the economic theory of demand. Zbl 1121.91061Ekeland, Ivar; Djitté, Ngalla 1 2006 A theory of bond portfolios. Zbl 1125.91051Ekeland, Ivar; Taflin, Erik 27 2005 An optimal matching problem. Zbl 1106.49054Ekeland, Ivar 14 2005 Regularity in an unusual variational problem. Zbl 1113.49041Ekeland, Ivar; Nirenberg, Louis 1 2005 On the Malliavin approach to Monte Carlo approximation of conditional expectations. Zbl 1051.60061Bouchard, Bruno; Ekeland, Ivar; Touzi, Nizar 26 2004 Testable implications of general equilibrium theory: A differentiable approach. Zbl 1059.91059Chiappori, P.-A.; Ekeland, I.; Kübler, F.; Polemarchakis, H. M. 12 2004 Individual excess demands. Zbl 1059.91056Chiappori, P. A.; Ekeland, I. 7 2004 The structure of cities. Zbl 1073.91061Carlier, G.; Ekeland, I. 4 2004 Paris-Princeton lectures on mathematical finance 2003. Zbl 1047.91002 2 2004 Some applications of the Cartan-Kähler theorem to economic theory. Zbl 1365.35184Ekeland, Ivar 2 2003 Selected new aspects of the calculus of variations in the large. Zbl 1064.35054Ekeland, Ivar; Ghoussoub, Nassif 94 2002 The identification of preferences from equilibrium prices under uncertainty. Zbl 1127.91367Kübler, F.; Chiappori, P.-A.; Ekeland, I.; Polemarchakis, H. M. 16 2002 A convex Darboux theorem. Zbl 1082.58501Ekeland, Ivar; Nirenberg, Louis 5 2002 Two problems in economics. Zbl 1028.91014Ekeland, Ivar 2 2002 Convex analysis and variational problems. Unabridged, corrected republication of the 1976 English original. Zbl 0939.49002Ekeland, Ivar; Témam, Roger 466 1999 Aggregation and market demand: an exterior differential calculus viewpoint. Zbl 1055.91533Chiappori, P. A.; Ekeland, I. 16 1999 Disaggregation of excess demand functions in incomplete markets. Zbl 0958.91016Chiappori, Pierre-André; Ekeland, Ivar 8 1999 \(\mathbb{Z}_2\)-equivariant Ljusternik-Schnirelman theory for non-even functionals. Zbl 0907.58006Ekeland, I.; Ghoussoub, N. 4 1998 Mathematical modeling in economy. (La modélisation mathématique en économie.) Zbl 0935.91001Ekeland, Ivar 1 1998 A convex Darboux theorem. Zbl 1004.58501Chiappori, Pierre-André; Ekeland, Ivar 2 1997 Multiple solutions for a classical problem in the calculus of variations. Zbl 0872.49001Ekeland, I.; Ghoussoub, N.; Tehrani, T. 13 1996 Aggregation problems in consumer theory and exterior differential calculus. (Problèmes d’agrégation en théorie du consommateur et calcul différentiel extérieur.) Zbl 0864.90029Chiappori, Pierre-André; Ekeland, Ivar 2 1996 Stability from index estimates for periodic solutions of Lagrangian systems. Zbl 0797.34045Dell’Antonio, Gianfausto; D’Onofrio, Biancamaria; Ekeland, Ivar 2 1994 The broken dice and other mathematical tales of chance. Translated from the French by Carol Volk. Zbl 0785.60002Ekeland, Ivar 1 1993 Les systèmes hamiltoniens convexes et pairs ne sont pas ergodiques en général. (Convex symmetric Hamiltonian systems are not generally ergodic). Zbl 0768.70014Dell’Antonio, Gianfausto; D’Onofrio, Biancamaria; Ekeland, Ivar 18 1992 Convexity methods in Hamiltonian mechanics. Zbl 0707.70003Ekeland, Ivar 325 1990 A variational approach to homoclinic orbits in Hamiltonian systems. Zbl 0731.34050Coti Zelati, Vittorio; Ekeland, Ivar; Séré, Eric 181 1990 Symplectic topology and Hamiltonian dynamics. II. Zbl 0729.53039Ekeland, Ivar; Hofer, Helmut 44 1990 Index estimates and critical points of functionals not satisfying Palais- Smale. Zbl 0725.58019Coti Zelati, Vittorio; Ekeland, Ivar; Lions, Pierre-Louis 7 1990 Hamiltonian systems with elliptic periodic orbits. Zbl 0687.58008D’Onoforio, Biancamaria; Ekeland, Ivar 3 1990 The \(\epsilon\)-variational principle revisited. Zbl 0721.49025Ekeland, I. 2 1990 Solutions doublement asymptotiques de systèmes hamiltoniens convexes. (Homoclinic orbits of convex Hamiltonian systems). Zbl 0703.70020Coti Zelati, Vittorio; Ekeland, Ivar; Séré, Éric 1 1990 Periodic solutions of a class of Hamiltonian systems with singularities. Zbl 0708.34031Ambrosetti, Antonio; Ekeland, Ivar 1 1990 Variational methods. Proceedings of a conference, Paris/France, June 1988. Zbl 0713.00009 1 1990 Symplectic topology and Hamiltonian dynamics. Zbl 0641.53035Ekeland, I.; Hofer, H. 73 1989 Two symplectic fixed-point theorems with applications to Hamiltonian dynamics. Zbl 0709.58017Ekeland, I.; Hofer, H. 9 1989 Perturbation results for a class of singular Hamiltonian systems. Zbl 0742.58047Ambrosetti, Antonio; Ekeland, Ivar 1 1989 Some variational problems arising from mathematical economics. Zbl 0659.90028Ekeland, Ivar 8 1988 Mathematics and the unexpected. Transl. from the French. With a foreword by Felix E. Browder. Zbl 0744.00013Ekeland, Ivar 1 1988 Convex Hamiltonian energy surfaces and their periodic trajectories. Zbl 0641.58038Ekeland, I.; Hofer, H. 68 1987 Symmetry breaking in Hamiltonian systems. Zbl 0606.58043Ambrosetti, A.; Coti Zelati, V.; Ekeland, I. 41 1987 Subharmonics for convex nonautonomous Hamiltonian systems. Zbl 0601.58035Ekeland, I.; Hofer, H. 30 1987 Multiplicité des trajectoires fermées de systèmes hamiltoniens connexes. (Multiplicity of closed trajectories of convex Hamiltonian systems). Zbl 0633.58034Ekeland, I.; Lassoued, L. 8 1987 Periodic solutions of Hamiltonian systems and related topics. (Proceedings of the NATO Advanced Research Workshop on Periodic solutions of Hamiltonian Systems and Related Topics, Il Ciocco, Italy, October 13- 17, 1986). Zbl 0621.00013 1 1987 An index theory for periodic solutions of convex Hamiltonian systems. Zbl 0596.34023Ekeland, I. 27 1986 Transversality conditions for some infinite horizon discrete time optimization problems. Zbl 0593.49021Ekeland, Ivar; Scheinkman, José Alexandre 18 1986 Two results in convex analysis. Zbl 0589.49007Ekeland, I. 1 1986 Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems. Zbl 0594.58035Ekeland, I.; Hofer, H. 64 1985 Un flot hamiltonien a au moins deux trajectoires fermées sur toute surface d’énergie convexe et bornée. (A Hamiltonian flow has at least two closed trajectories on each convex and bounded energy hypersurface). Zbl 0588.58013Ekeland, Ivar; Lassoued, Leila 2 1985 Applied nonlinear analysis. Zbl 0641.47066Aubin, Jean-Pierre; Ekeland, Ivar 665 1984 Une théorie de Morse pour les systèmes hamiltoniens convexes. Zbl 0537.58018Ekeland, Ivar 51 1984 Hypersurfaces pincées et systèmes hamiltoniens. (Pinched hypersurfaces and Hamiltonian systems). Zbl 0567.58008Ekeland, Ivar 2 1984 Infinite-dimensional optimization and convexity. Zbl 0565.49003Ekeland, Ivar; Turnbull, Thomas 45 1983 A perturbation theory near convex Hamiltonian systems. Zbl 0476.34035Ekeland, I. 10 1983 Duality in non convex variational problems. Zbl 0541.58022Ekeland, I.; Lasry, J. M. 7 1983 Dual variational methods in non-convex optimization and differential equations. Zbl 0544.49010Ekeland, I. 3 1983 Some lemmas about dynamical systems. Zbl 0515.58026Ekeland, I. 2 1983 Une théorie de Morse pour les systèmes hamiltoniens. (Morse theory for Hamiltonian systems). Zbl 0566.58014Ekeland, Ivar 1 1983 Nonlinear oscillations and boundary value problems for Hamiltonian systems. Zbl 0514.34032Clarke, Frank H.; Ekeland, I. 41 1982 Dualité et stabilité des systèmes hamiltoniens. Zbl 0491.70021Ekeland, Ivar 1 1982 Oscillations de systèmes Hamiltoniens non linéaires. III. Zbl 0514.70025Ekeland, Ivar 3 1981 Forced oscillations of nonlinear Hamiltonian systems. II. Zbl 0484.70023Ekeland, Ivar 1 1981 Hamiltonian trajectories having prescribed minimal period. Zbl 0403.70016Clarke, F. H.; Ekeland, I. 87 1980 On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface. Zbl 0449.70014Ekeland, Ivar; Lasry, Jean-Michel 80 1980 Problèmes variationnels non convexes en dualité. Zbl 0448.90063Ekeland, Ivar; Lasry, Jean-Michel 5 1980 Second-order evolution equations associated with convex Hamiltonians. Zbl 0429.35042Aubin, J. P.; Ekeland, I. 4 1980 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,770 Authors 55 Wu, Tsungfang 46 Ekeland, Ivar 32 Long, Yiming 32 Tang, Xianhua 28 Rădulescu, Vicenţiu D. 27 Sun, Juntao 26 Liu, Chungen 23 Carlier, Guillaume 23 Penot, Jean-Paul 23 Yao, Jen-Chih 22 Ding, Xie Ping 22 Qiu, Jinghui 21 Huang, Nan-Jing 21 Papageorgiou, Nikolaos S. 19 Boţ, Radu Ioan 19 Ghoussoub, Nassif A. 19 Zaslavski, Alexander Yakovlevich 18 Borwein, Jonathan Michael 18 Hsu, TsingSan 17 Sofonea, Mircea 17 Turinici, Mihai 16 Alduncin, Gonzalo 16 Arutyunov, Aram Vladimirovic 16 Hofer, Helmut H. W. 16 Kruger, Alexander Y. 16 Wei, Jiaqin 15 Galewski, Marek 15 Visintin, Augusto 15 Zhang, Duanzhi 14 Ambrosetti, Antonio 14 Ambrosio, Vincenzo 14 Azé, Dominique 14 Cho, Yeol Je 14 Clason, Christian 14 Ioffe, Alexander Davidovich 14 Kunisch, Karl 14 Li, Shengjie 14 Lin, Lai-Jiu 14 Lions, Pierre-Louis 14 Miyagaki, Olimpio Hiroshi 14 Moameni, Abbas 14 Mordukhovich, Boris S. 14 Motreanu, Dumitru 14 Repin, Sergeĭ Igorevich 13 Chen, Haibo 13 Frankowska, Hélène 13 Haslinger, Jaroslav 13 Hintermüller, Michael 13 Pucci, Patrizia 13 Rabinowitz, Paul Henry 13 Shehu, Yekini 13 Suzuki, Tomonari 13 Théra, Michel A. 13 Thibault, Lionel 12 Galichon, Alfred 12 Gao, David Yang 12 Georgiev, Pando Grigorov 12 Kang, Dongsheng 12 Mawhin, Jean L. 12 Temam, Roger Meyer 12 Wang, Wei 12 Yong, Jiongmin 12 Zhao, Fukun 12 Zou, Wenming 11 Alves, Claudianor Oliveira 11 Ansari, Qamrul Hasan 11 Attouch, Hedy 11 Bredies, Kristian 11 Cao, Daomin 11 Casas, Eduardo 11 Corvellec, Jean-Noël 11 Csetnek, Ernö Robert 11 Ding, Yanheng 11 Flåm, Sjur Didrik 11 He, Xiaoming 11 Lapin, Aleksandr Vasil’evich 11 Montecchiari, Piero 11 Panagiotopoulos, Panagiotis D. 11 Peng, Zaiyun 11 Serovaĭskiĭ, Simon Ya. 11 Willem, Michel 11 Zhou, Huan-Song 10 Agarwal, Ravi P. 10 Benci, Vieri 10 Burger, Martin 10 Chiappori, Pierre-André 10 Fonda, Alessandro 10 Hu, Xijun 10 Huynh Van Ngai 10 Nguyen Thanh Chung 10 Phạm Tiên So’n 10 Santambrogio, Filippo 10 Squassina, Marco 10 Sumin, Mikhail Iosifovich 10 Tammer, Christiane 10 Teo, Kok Lay 10 Volle, Michel 10 Wanka, Gert 9 Bergounioux, Maïtine 9 Bouchitté, Guy ...and 4,670 more Authors all top 5 Cited in 554 Serials 259 Journal of Optimization Theory and Applications 237 Journal of Mathematical Analysis and Applications 186 Nonlinear Analysis. 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(English Edition) 12 Proceedings of the Steklov Institute of Mathematics 12 Frontiers of Mathematics in China 12 SIAM Journal on Financial Mathematics 11 Inventiones Mathematicae ...and 454 more Serials all top 5 Cited in 58 Fields 1,883 Calculus of variations and optimal control; optimization (49-XX) 1,393 Partial differential equations (35-XX) 856 Operations research, mathematical programming (90-XX) 604 Operator theory (47-XX) 553 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 528 Global analysis, analysis on manifolds (58-XX) 495 Ordinary differential equations (34-XX) 483 Dynamical systems and ergodic theory (37-XX) 449 Numerical analysis (65-XX) 343 Mechanics of deformable solids (74-XX) 331 Systems theory; control (93-XX) 310 Functional analysis (46-XX) 287 Probability theory and stochastic processes (60-XX) 213 General topology (54-XX) 177 Differential geometry (53-XX) 167 Mechanics of particles and systems (70-XX) 152 Real functions (26-XX) 122 Fluid mechanics (76-XX) 95 Information and communication theory, circuits (94-XX) 75 Convex and discrete geometry (52-XX) 73 Computer science (68-XX) 72 Statistics (62-XX) 56 Difference and functional equations (39-XX) 50 Biology and other natural sciences (92-XX) 47 Statistical mechanics, structure of matter (82-XX) 42 Approximations and expansions (41-XX) 41 Measure and integration (28-XX) 41 Quantum theory (81-XX) 33 Manifolds and cell complexes (57-XX) 30 Optics, electromagnetic theory (78-XX) 22 Algebraic topology (55-XX) 22 Classical thermodynamics, heat transfer (80-XX) 20 Integral equations (45-XX) 16 History and biography (01-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Potential theory (31-XX) 12 General and overarching topics; collections (00-XX) 12 Mathematical logic and foundations (03-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Geophysics (86-XX) 9 Topological groups, Lie groups (22-XX) 8 Algebraic geometry (14-XX) 6 Combinatorics (05-XX) 6 Functions of a complex variable (30-XX) 5 Integral transforms, operational calculus (44-XX) 4 Number theory (11-XX) 4 Group theory and generalizations (20-XX) 4 Abstract harmonic analysis (43-XX) 3 Relativity and gravitational theory (83-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Mathematics education (97-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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