Edit Profile (opens in new tab) Caffarelli, Luis Ángel Co-Author Distance Author ID: caffarelli.luis-a Published as: Caffarelli, Luis A.; Caffarelli, Luis; Caffarelli, L. A.; Caffarelli, L.; Caffarelli, Luis Ángel; Cafferelli, L. A. more...less Homepage: https://web.ma.utexas.edu/users/caffarel/ External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Awards: Wolf Prize (2012) · Shaw Prize (2018) · Abel Prize (2023) Documents Indexed: 312 Publications since 1974, including 4 Books and 4 Additional arXiv Preprints 7 Contributions as Editor · 2 Further Contributions Biographic References: 3 Publications Co-Authors: 133 Co-Authors with 262 Joint Publications 4,035 Co-Co-Authors all top 5 Co-Authors 58 single-authored 43 Friedman, Avner 18 Nirenberg, Louis 13 Athanasopoulos, Ioannis 13 Spruck, Joel 12 Alt, Hans Wilhelm 11 Salsa, Sandro 10 Silvestre, Luis E. 9 Mellet, Antoine 8 Vazquez, Juan Luis 7 Li, YanYan 7 Roquejoffre, Jean-Michel 6 Berestycki, Henri 6 Lin, Fang Hua 6 Markowich, Peter Alexander 6 Sire, Yannick 6 Vasseur, Alexis F. 5 Kenig, Carlos Eduardo 5 Lee, Ki-Ahm 5 Riviere, Nestor M. 5 Savin, Ovidiu V. 5 Shahgholian, Henrik 5 Valdinoci, Enrico 4 Arapostathis, Aristotle 4 Aronson, Donald G. 4 Cabré, Xavier 4 Córdoba Barba, Antonio Juan 4 Crandall, Michael G. 4 Figalli, Alessio 4 Gutiérrez, Cristian E. 4 Souganidis, Panagiotis E. 4 Wang, Lihe 4 Wolanski, Noemi I. 3 Aguilera, Néstor E. 3 Ambrosio, Luigi 3 Biswas, Anup 3 Burger, Martin 3 De Silva, Daniela 3 Huang, Qingbo 3 Jerison, David S. 3 Kohn, Robert Vita 3 Milakis, Emmanouil 3 Stinga, Pablo Raúl 3 Wolfram, Marie-Therese 2 Allen, Mark G. 2 Bjorland, Clayton 2 Bonforte, Matteo 2 Brézis, Haïm 2 Calderón, Calixto Pedro 2 de la Llave, Rafael 2 Evans, Lawrence Craig 2 Fabes, Eugene B. 2 Gidas, Basilis 2 Grillo, Gabriele 2 Karakhanyan, Aram L. 2 Kinderlehrer, David 2 Kohn, Joseph J. 2 Lederman, Claudia B. 2 McCann, Robert J. 2 Milman, Mario Marcos 2 Oliker, Vladimir I. 2 Patrizi, Stefania 2 Quitalo, Veronica 2 Salazar, Jorge A. 2 Soria-Carro, María 2 Tomasetti, Ignacio 2 Torelli, Alessandro 2 Urbano, José Miguel 2 Vivas, Hernán Agustín 2 Yuan, Yu 1 Agmon, Shmuel 1 Birindelli, Isabeau 1 Brenier, Yann 1 Brezzi, Franco 1 Buttazzo, Giuseppe 1 Cagnetti, Filippo 1 Chan, Chi Hin 1 Chang, Kung-Ching 1 Chang, Sun-Yung Alice 1 Charro, Fernando 1 Dávila, Gonzalo 1 Guedes de Figueiredo, Djairo 1 Dipierro, Serena 1 Dolbeault, Jean 1 Dundas, Bjørn Ian 1 Duque, Luis 1 E, Weinan 1 Ekeland, Ivar 1 Fefferman, Charles Louis 1 Feldman, Mikhail 1 Garofalo, Nicola 1 Gilardi, Gianni 1 Glowinski, Roland 1 González, María del Mar 1 Gualdani, Maria Pia 1 Guan, Pengfei 1 Hardt, Robert M. 1 Jin, Tianling 1 Kamin, Shoshana 1 Karp, Lavi 1 Klainerman, Sergiu ...and 51 more Co-Authors all top 5 Serials 36 Communications on Pure and Applied Mathematics 22 Archive for Rational Mechanics and Analysis 21 Indiana University Mathematics Journal 18 Communications in Partial Differential Equations 12 Annals of Mathematics. Second Series 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 8 Transactions of the American Mathematical Society 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Advances in Mathematics 5 Duke Mathematical Journal 5 Journal of Differential Equations 5 Journal für die Reine und Angewandte Mathematik 5 Proceedings of the American Mathematical Society 5 Journal of the American Mathematical Society 5 Discrete and Continuous Dynamical Systems 4 American Journal of Mathematics 4 Calculus of Variations and Partial Differential Equations 3 Communications in Mathematical Physics 3 Acta Mathematica 3 Inventiones Mathematicae 3 Revista Matemática Iberoamericana 3 Differential and Integral Equations 3 SIAM Journal on Mathematical Analysis 3 Journal of the European Mathematical Society (JEMS) 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Pacific Journal of Mathematics 2 SIAM Journal on Control and Optimization 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Communications in Analysis and Geometry 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Fixed Point Theory and Applications 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematische Annalen 1 RAIRO. Analyse Numérique 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Chinese Annals of Mathematics. Series B 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal of Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Topological Methods in Nonlinear Analysis 1 The Journal of Fourier Analysis and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Journal of Numerical Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Communications in Mathematical Sciences 1 Analysis in Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Bulletin of the American Mathematical Society 1 Colloquium Publications. American Mathematical Society 1 Contemporary Mathematics 1 Graduate Studies in Mathematics 1 Lecture Notes in Mathematics 1 IAS/Park City Mathematics Series 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Analysis & PDE 1 Annals of PDE 1 Philosophical Transactions A. Royal Society of London 1 Mathematics in Engineering 1 European Mathematical Society Magazine all top 5 Fields 264 Partial differential equations (35-XX) 68 Calculus of variations and optimal control; optimization (49-XX) 42 Fluid mechanics (76-XX) 17 Differential geometry (53-XX) 16 Potential theory (31-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Mechanics of deformable solids (74-XX) 11 Operator theory (47-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 General and overarching topics; collections (00-XX) 8 Integral equations (45-XX) 8 Optics, electromagnetic theory (78-XX) 7 Real functions (26-XX) 7 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 6 History and biography (01-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Systems theory; control (93-XX) 3 Measure and integration (28-XX) 3 Quantum theory (81-XX) 2 Ordinary differential equations (34-XX) 2 Convex and discrete geometry (52-XX) 2 Operations research, mathematical programming (90-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 283 Publications have been cited 17,820 times in 10,259 Documents Cited by ▼ Year ▼ An extension problem related to the fractional Laplacian. Zbl 1143.26002 Caffarelli, Luis; Silvestre, Luis 1,666 2007 Fully nonlinear elliptic equations. Zbl 0834.35002 Caffarelli, Luis A.; Cabré, Xavier 731 1995 Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067 Caffarelli, L.; Kohn, R.; Nirenberg, Louis 703 1982 Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085 Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel 644 1989 First order interpolation inequalities with weights. Zbl 0563.46024 Caffarelli, L.; Kohn, R.; Nirenberg, Louis 588 1984 Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Zbl 1204.35063 Caffarelli, Luis A.; Vasseur, Alexis 505 2010 The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian. Zbl 0654.35031 Caffarelli, L.; Nirenberg, L.; Spruck, J. 444 1985 Existence and regularity for a minimum problem with free boundary. Zbl 0449.35105 Alt, H. W.; Caffarelli, L. A. 375 1981 Regularity theory for fully nonlinear integro-differential equations. Zbl 1170.45006 Caffarelli, Luis; Silvestre, Luis 339 2009 Interior a priori estimates for solutions of fully nonlinear equations. Zbl 0692.35017 Caffarelli, Luis A. 338 1989 On \(W^{1,p}\) estimates for elliptic equations in divergence form. Zbl 0906.35030 Caffarelli, L. A.; Peral, I. 309 1998 Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian. Zbl 1148.35097 Caffarelli, Luis A.; Salsa, Sandro; Silvestre, Luis 307 2008 The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047 Caffarelli, L.; Nirenberg, Louis; Spruck, J. 300 1984 Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation. Zbl 0704.35044 Caffarelli, Luis A. 253 1990 Non-local diffusions, drifts and games. Zbl 1266.35060 Caffarelli, Luis 244 2012 Nonlocal minimal surfaces. Zbl 1248.53009 Caffarelli, L.; Roquejoffre, J.-M.; Savin, O. 238 2010 Variational problems with two phases and their free boundary. Zbl 0844.35137 Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 224 1984 The obstacle problem revisited. Zbl 0928.49030 Caffarelli, L. A. 210 1998 A geometric approach to free boundary problems. Zbl 1083.35001 Caffarelli, Luis; Salsa, Sandro 198 2005 On viscosity solutions of fully nonlinear equations with measurable ingredients. Zbl 0854.35032 Caffarelli, L.; Crandall, M. G.; Kocan, M.; Świȩch, A. 185 1996 The regularity of free boundaries in higher dimensions. Zbl 0386.35046 Caffarelli, Luis A. 180 1978 Boundary behavior of nonnegative solutions of elliptic operators in divergence form. Zbl 0512.35038 Caffarelli, L.; Fabes, E.; Mortola, S.; Salsa, S. 167 1981 Variational problems with free boundaries for the fractional Laplacian. Zbl 1221.35453 Caffarelli, Luis A.; Roquejoffre, Jean-Michel; Sire, Yannick 162 2010 A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity. Zbl 0704.35045 Caffarelli, L. A. 160 1990 Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513 Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis 151 1997 The Dirichlet problem for nonlinear second-order elliptic equations. II: Complex Monge-Ampère, and uniformly elliptic, equations. Zbl 0598.35048 Caffarelli, L.; Kohn, J. J.; Nirenberg, Louis; Spruck, J. 150 1985 Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 148 1997 The regularity of mappings with a convex potential. Zbl 0753.35031 Caffarelli, Luis A. 148 1992 Regularity results for nonlocal equations by approximation. Zbl 1231.35284 Caffarelli, Luis; Silvestre, Luis 136 2011 Vortex condensation in the Chern-Simons Higgs model: An existence theorem. Zbl 0846.58063 Caffarelli, Luis A.; Yang, Yisong 130 1995 A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\). Zbl 0676.35085 Caffarelli, Luis A. 124 1987 Nonlinear porous medium flow with fractional potential pressure. Zbl 1264.76105 Caffarelli, Luis; Vazquez, Juan Luis 124 2011 A Harnack inequality approach to the regularity of free boundaries. II: Flat free boundaries are Lipschitz. Zbl 0676.35086 Caffarelli, Luis A. 120 1989 Some regularity properties of solutions of Monge Ampère equation. Zbl 0761.35028 Caffarelli, Luis A. 120 1991 Fractional elliptic equations, Caccioppoli estimates and regularity. Zbl 1381.35211 Caffarelli, Luis A.; Stinga, Pablo Raúl 119 2016 Convexity of solutions of semilinear elliptic equations. Zbl 0599.35065 Caffarelli, Luis A.; Friedman, Avner 109 1985 A parabolic problem with a fractional time derivative. Zbl 1338.35428 Allen, Mark; Caffarelli, Luis; Vasseur, Alexis 103 2016 Uniform estimates and limiting arguments for nonlocal minimal surfaces. Zbl 1357.49143 Caffarelli, Luis; Valdinoci, Enrico 102 2011 Boundary regularity of maps with convex potentials. II. Zbl 0916.35016 Caffarelli, Luis A. 101 1996 Convexity properties of solutions to some classical variational problems. Zbl 0508.49013 Caffarelli, Luis A.; Spruck, Joel 100 1982 Regularity theory for parabolic nonlinear integral operators. Zbl 1223.35098 Caffarelli, Luis; Chan, Chi Hin; Vasseur, Alexis 96 2011 Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 93 1996 The initial trace of a solution of the porous medium equation. Zbl 0556.76084 Aronson, D. G.; Caffarelli, L. A. 92 1983 Properties of the solutions of the linearized Monge-Ampère equation. Zbl 0878.35039 Caffarelli, Luis A.; Gutiérrez, Cristian E. 89 1997 The Evans-Krylov theorem for nonlocal fully nonlinear equations. Zbl 1232.49043 Caffarelli, Luis; Silvestre, Luis 82 2011 Regularity of the free boundary of a gas flow in an \(n\)-dimensional porous medium. Zbl 0439.76085 Caffarelli, Luis A.; Friedman, Avner 82 1980 Boundary regularity of maps with convex potentials. Zbl 0778.35015 Caffarelli, Luis A. 82 1992 Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028 Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel 81 1988 An extension to a theorem of Jörgens, Calabi, and Pogorelov. Zbl 1236.35041 Caffarelli, L.; Li, YanYan 80 2003 A Harnack inequality approach to the regularity of free boundaries. III: Existence theory, compactness, and dependence on X. Zbl 0702.35249 Caffarelli, Luis A. 79 1988 Monotonicity properties of optimal transportation and the FKG and related inequalities. Zbl 0978.60107 Caffarelli, Luis A. 78 2000 Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries. Zbl 1194.35138 Caffarelli, L. A.; Lin, Fang-Hua 77 2008 Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs. Zbl 1053.49032 Caffarelli, Luis A.; Feldman, Mikhail; McCann, Robert J. 75 2002 An \(L^ \infty\) bound for solutions of the Cahn-Hilliard equation. Zbl 0851.35010 Caffarelli, Luis A.; Muler, Nora E. 73 1995 Regularity of a free boundary with application to the Pompeiu problem. Zbl 0960.35112 Caffarelli, Luis A.; Karp, Lavi; Shahgholian, Henrik 73 2000 The structure of the free boundary for lower dimensional obstacle problems. Zbl 1185.35339 Athanasopoulos, I.; Caffarelli, L. A.; Salsa, S. 72 2008 Further regularity for the Signorini problem. Zbl 0427.35019 Caffarelli, L. A. 72 1979 Continuity of the temperature in the two-phase Stefan problem. Zbl 0516.35080 Caffarelli, L. A.; Evans, L. C. 71 1983 Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media. Zbl 1063.35025 Caffarelli, Luis A.; Souganidis, Panagiotis E.; Wang, L. 67 2005 Global energy minimizers for free boundary problems and full regularity in three dimensions. Zbl 1330.35545 Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E. 67 2004 Non-local gradient dependent operators. Zbl 1252.35099 Bjorland, C.; Caffarelli, L.; Figalli, A. 67 2012 Lipschitz continuity of solutions and interfaces of the N-dimensional porous medium equation. Zbl 0644.35058 Caffarelli, L. A.; Vazquez, J. L.; Wolanski, N. I. 66 1987 A free boundary problem for quasi-linear elliptic equations. Zbl 0554.35129 Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner 65 1984 Some new monotonicity theorems with applications to free boundary problems. Zbl 1142.35382 Caffarelli, Luis A.; Jerison, David; Kenig, Carlos E. 65 2002 Uniform estimates for regularization of free boundary problems. Zbl 0702.35252 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 63 1990 The obstacle problem for the biharmonic operator. Zbl 0405.31007 Caffarelli, Luis A.; Friedman, Avner 62 1979 Regularity of solutions to the parabolic fractional obstacle problem. Zbl 1277.35088 Caffarelli, Luis; Figalli, Alessio 62 2013 Uniform convergence of a singular perturbation problem. Zbl 0829.49013 Caffarelli, Luis A.; Córdoba, Antonio 61 1995 An optimal partition problem for eigenvalues. Zbl 1123.65060 Cafferelli, L. A.; Lin, Fang Hua 60 2007 Completely singular elliptic-harmonic measures. Zbl 0482.35020 Caffarelli, Luis A.; Fabes, Eugene B.; Kenig, Carlos E. 60 1981 Nonlocal tug-of-war and the infinity fractional Laplacian. Zbl 1235.35278 Bjorland, Clayton; Caffarelli, Luis; Figalli, Alessio 60 2012 Regularity of solutions of the fractional porous medium flow. Zbl 1292.35312 Caffarelli, Luis A.; Soria, Fernando; Vázquez, Juan Luis 60 2013 A free-boundary problem for the heat equation arising in flame propagation. Zbl 0814.35149 Caffarelli, Luis A.; Vázquez, Juan L. 58 1995 Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2–8, 2001. Zbl 1013.00028 Ambrosio, Luigi; Brenier, Yann; Buttazzo, Giusseppe; Caffarelli, Luis A.; Villani, Cédric 58 2003 Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027 Caffarelli, L.; Nirenberg, L.; Spruck, J. 57 1986 Optimal regularity of lower dimensional obstacle problems. Zbl 1108.35038 Athanasopoulos, I.; Caffarelli, L. A. 57 2004 Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations. Zbl 0593.35047 Caffarelli, Luis A.; Friedman, Avner 57 1985 Regularity properties of nonlocal minimal surfaces via limiting arguments. Zbl 1284.53008 Caffarelli, Luis; Valdinoci, Enrico 57 2013 Free boundaries in optimal transport and Monge-Ampère obstacle problems. Zbl 1196.35231 Caffarelli, Luis A.; McCann, Robert J. 56 2010 Compactness methods in free boundary problems. Zbl 0437.35070 Caffarelli, Luis A. 54 1980 Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. Zbl 1192.35048 Caffarelli, Luis A.; Souganidis, Panagiotis E. 53 2010 A gradient bound for entire solutions of quasi-linear equations and its consequences. Zbl 0819.35016 Caffarelli, Luis; Garofalo, Nicola; Segala, Fausto 53 1994 Asymptotic behaviour of a porous medium equation with fractional diffusion. Zbl 1211.35043 Caffarelli, Luis; Vázquez, Juan-Luis 52 2011 Continuity of the density of a gas flow in a porous medium. Zbl 0425.35060 Caffarelli, Luis A.; Friedman, Avner 52 1979 Potential methods in variational inequalities. Zbl 0455.49010 Caffarelli, L. A.; Kinderlehrer, D. 50 1980 The blow-up boundary for nonlinear wave equations. Zbl 0638.35053 Caffarelli, Luis A.; Friedman, Avner 47 1986 Axially symmetric jet flows. Zbl 0515.76017 Alt, H. W.; Caffarelli, L. A.; Friedman, A. 47 1983 Planelike minimizers in periodic media. Zbl 1036.49040 Caffarelli, Luis A.; de la Llave, Rafael 46 2001 Regularity of a free boundary in parabolic potential theory. Zbl 1054.35142 Caffarelli, Luis; Petrosyan, Arshak; Shahgholian, Henrik 46 2004 Symmetry for elliptic equations in a half space. Zbl 0793.35034 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 46 1993 On the case of equality in the Brunn-Minkowski inequality for capacity. Zbl 0847.31005 Caffarelli, Luis A.; Jerison, David; Lieb, Elliott H. 45 1996 Continuity of the temperature in boundary heat control problems. Zbl 1190.35125 Athanasopoulos, I.; Caffarelli, L. A. 45 2010 The shape of axisymmetric rotating fluid. Zbl 0439.35068 Caffarelli, Luis A.; Friedman, Avner 45 1980 Real analysis related to the Monge-Ampère equation. Zbl 0858.35034 Caffarelli, Luis A.; Gutiérrez, Cristian E. 45 1996 Obstacle problems for integro-differential operators: regularity of solutions and free boundaries. Zbl 1371.35361 Caffarelli, Luis; Ros-Oton, Xavier; Serra, Joaquim 45 2017 Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044 Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis 45 2013 Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132 Caffarelli, Luis A.; Souganidis, Panagiotis E. 44 2010 An optimization problem with volume constraint. Zbl 0588.49005 Aguilera, N.; Alt, H. W.; Caffarelli, L. A. 44 1986 Asymptotic estimates for the plasma problem. Zbl 0466.35033 Caffarelli, Luis A.; Friedman, Avner 44 1980 How an initially stationary interface begins to move in porous medium flow. Zbl 0542.76119 Aronson, D. G.; Caffarelli, L. A.; Kamin, S. 43 1983 The two-phase Stefan problem with anomalous diffusion. Zbl 1495.35176 Athanasopoulos, Ioannis; Caffarelli, Luis; Milakis, Emmanouil 2 2022 Regularity for \(C^{1, \alpha}\) interface transmission problems. Zbl 1467.35169 Caffarelli, Luis Ángel; Soria-Carro, María; Stinga, Pablo Raúl 9 2021 The leading edge of a free boundary interacting with a line of fast diffusion. Zbl 1465.35414 Caffarelli, L. A.; Roquejoffre, J.-M. 1 2021 Fully nonlinear integro-differential equations with deforming kernels. Zbl 1452.35055 Caffarelli, Luis; Teymurazyan, Rafayel; Urbano, José Miguel 5 2020 Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. Zbl 1459.35233 Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola 4 2020 Optimal regularity and structure of the free boundary for minimizers in cohesive zone models. Zbl 1442.49005 Caffarelli, L.; Cagnetti, F.; Figalli, A. 2 2020 Minimal surfaces and free boundaries: recent developments. Zbl 1433.35464 Caffarelli, Luis A.; Sire, Yannick 1 2020 Ergodic control of a class of jump diffusions with finite Lévy measures and rough kernels. Zbl 1415.93288 Arapostathis, Ari; Caffarelli, Luis; Pang, Guodong; Zheng, Yi 7 2019 Interior regularity for fractional systems. Zbl 1411.35111 Caffarelli, Luis; Dávila, Gonzalo 7 2019 Parabolic obstacle problems, quasi-convexity and regularity. Zbl 1432.35264 Athanasopoulos, Ioannis; Caffarelli, Luis; Milakis, Emmanouil 6 2019 On uniqueness of solutions to viscous HJB equations with a subquadratic nonlinearity in the gradient. Zbl 1428.35125 Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis 5 2019 Regularity of interfaces for a Pucci type segregation problem. Zbl 1432.35085 Caffarelli, L.; Patrizi, S.; Quitalo, V.; Torres, M. 2 2019 On the regularity of the non-dynamic parabolic fractional obstacle problem. Zbl 1394.35588 Athanasopoulos, Ioannis; Caffarelli, Luis; Milakis, Emmanouil 22 2018 A minimization problem with free boundary related to a cooperative system. Zbl 1395.35226 Caffarelli, Luis A.; Shahgholian, Henrik; Yeressian, Karen 19 2018 Two-phase anisotropic free boundary problems and applications to the Bellman equation in 2D. Zbl 1393.35247 Caffarelli, L.; De Silva, D.; Savin, O. 6 2018 Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack. Zbl 1387.35071 Caffarelli, Luis A.; Sire, Yannick 3 2018 Obstacle problems for integro-differential operators: regularity of solutions and free boundaries. Zbl 1371.35361 Caffarelli, Luis; Ros-Oton, Xavier; Serra, Joaquim 45 2017 Porous medium flow with both a fractional potential pressure and fractional time derivative. Zbl 1372.35328 Allen, Mark; Caffarelli, Luis; Vasseur, Alexis 24 2017 A logistic equation with nonlocal interactions. Zbl 1356.35261 Caffarelli, Luis; Dipierro, Serena; Valdinoci, Enrico 21 2017 On some pointwise inequalities involving nonlocal operators. Zbl 1482.35017 Caffarelli, Luis A.; Sire, Yannick 18 2017 The two membranes problem for different operators. Zbl 1368.35045 Caffarelli, L.; De Silva, D.; Savin, O. 16 2017 On a long range segregation model. Zbl 1386.35084 Caffarelli, L.; Patrizi, S.; Quitalo, V. 8 2017 Fractional elliptic equations, Caccioppoli estimates and regularity. Zbl 1381.35211 Caffarelli, Luis A.; Stinga, Pablo Raúl 119 2016 A parabolic problem with a fractional time derivative. Zbl 1338.35428 Allen, Mark; Caffarelli, Luis; Vasseur, Alexis 103 2016 A free boundary problem related to thermal insulation. Zbl 1351.35268 Caffarelli, Luis A.; Kriventsov, Dennis 19 2016 Regularity of solutions of the fractional porous medium flow with exponent \(1/2\). Zbl 1335.35273 Caffarelli, L.; Vázquez, J. L. 17 2016 The Dirichlet problem for stable-like operators and related probabilistic representations. Zbl 1352.60080 Arapostathis, Ari; Biswas, Anup; Caffarelli, Luis 15 2016 Obstacle-type problems for minimal surfaces. Zbl 1370.35070 Caffarelli, L.; De Silva, D.; Savin, O. 14 2016 A non-local Monge-Ampère equation. Zbl 1361.35067 Caffarelli, Luis; Silvestre, Luis 7 2016 Foreword: In honor of Juan Luis Vázquez for his 70th birthday. Zbl 1334.00104 1 2016 Minimization of a fractional perimeter-Dirichlet integral functional. Zbl 1323.35216 Caffarelli, Luis; Savin, Ovidiu; Valdinoci, Enrico 14 2015 On a fractional Monge-Ampère operator. Zbl 1393.35268 Caffarelli, Luis; Charro, Fernando 13 2015 Regularity of free boundaries a heuristic retro. Zbl 1353.35319 Caffarelli, Luis A.; Shahgholian, Henrik 4 2015 A bifurcation phenomenon in a singularly perturbed one-phase free boundary problem of phase transition. Zbl 1334.35439 Caffarelli, Luis A.; Wang, Peiyong 3 2015 Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities. Zbl 1296.35208 Caffarelli, Luis; Jin, Tianling; Sire, Yannick; Xiong, Jingang 38 2014 Partial differential equation models in the socio-economic sciences. Zbl 1353.00004 15 2014 Hölder regularity for generalized master equations with rough kernels. Zbl 1312.45013 Caffarelli, Luis; Silvestre, Luis 13 2014 Regularity for anisotropic fully nonlinear integro-differential equations. Zbl 1304.35730 Caffarelli, Luis A.; Leitão, Raimundo; Urbano, José Miguel 9 2014 On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302 Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese 9 2014 A perturbation argument for a Monge-Ampère type equation arising in optimal transportation. Zbl 1294.35170 Caffarelli, Luis; Del Mar González, María; Nguyen, Truyen 6 2014 Counter-example in three dimension and homogenization of geometric motions in two dimension. Zbl 1293.35026 Caffarelli, L. A.; Monneau, R. 6 2014 Relations between geometric convexity, doubling measures and property \(\Gamma\). Zbl 1307.46006 Caffarelli, Luis A.; Crandall, Michael G. 2 2014 Regularity of solutions to the parabolic fractional obstacle problem. Zbl 1277.35088 Caffarelli, Luis; Figalli, Alessio 62 2013 Regularity of solutions of the fractional porous medium flow. Zbl 1292.35312 Caffarelli, Luis A.; Soria, Fernando; Vázquez, Juan Luis 60 2013 Regularity properties of nonlocal minimal surfaces via limiting arguments. Zbl 1284.53008 Caffarelli, Luis; Valdinoci, Enrico 57 2013 Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044 Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis 45 2013 On a Boltzmann-type price formation model. Zbl 1372.91039 Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese 19 2013 A priori bounds for solutions of a nonlocal evolution PDE. Zbl 1273.35067 Caffarelli, Luis; Valdinoci, Enrico 9 2013 The homogenization of surfaces and boundaries. Zbl 1296.35030 Caffarelli, Luis 2 2013 Non-local diffusions, drifts and games. Zbl 1266.35060 Caffarelli, Luis 244 2012 Non-local gradient dependent operators. Zbl 1252.35099 Bjorland, C.; Caffarelli, L.; Figalli, A. 67 2012 Nonlocal tug-of-war and the infinity fractional Laplacian. Zbl 1235.35278 Bjorland, Clayton; Caffarelli, Luis; Figalli, Alessio 60 2012 Some remarks on singular solutions of nonlinear elliptic equations. II: Symmetry and monotonicity via moving planes. Zbl 1325.35044 Caffarelli, Luis; Li, YanYan; Nirenberg, Louis 20 2012 Traveling waves for a boundary reaction-diffusion equation. Zbl 1255.35072 Caffarelli, L.; Mellet, A.; Sire, Y. 11 2012 The De Giorgi method for nonlocal fluid dynamics. Zbl 1357.35249 Caffarelli, Luis A.; Vasseur, Alexis 6 2012 The problem of two sticks. Zbl 1257.46009 Caffarelli, Luis A.; Crandall, Michael G. 1 2012 Regularity results for nonlocal equations by approximation. Zbl 1231.35284 Caffarelli, Luis; Silvestre, Luis 136 2011 Nonlinear porous medium flow with fractional potential pressure. Zbl 1264.76105 Caffarelli, Luis; Vazquez, Juan Luis 124 2011 Uniform estimates and limiting arguments for nonlocal minimal surfaces. Zbl 1357.49143 Caffarelli, Luis; Valdinoci, Enrico 102 2011 Regularity theory for parabolic nonlinear integral operators. Zbl 1223.35098 Caffarelli, Luis; Chan, Chi Hin; Vasseur, Alexis 96 2011 The Evans-Krylov theorem for nonlocal fully nonlinear equations. Zbl 1232.49043 Caffarelli, Luis; Silvestre, Luis 82 2011 Asymptotic behaviour of a porous medium equation with fractional diffusion. Zbl 1211.35043 Caffarelli, Luis; Vázquez, Juan-Luis 52 2011 On a price formation free boundary model by Lasry and Lions. Zbl 1216.91012 Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F. 15 2011 On a price formation free boundary model by Lasry and Lions: the Neumann problem. Zbl 1233.91336 Caffarelli, Luis A.; Markowich, Peter A.; Wolfram, Marie-Therese 8 2011 Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Zbl 1204.35063 Caffarelli, Luis A.; Vasseur, Alexis 505 2010 Nonlocal minimal surfaces. Zbl 1248.53009 Caffarelli, L.; Roquejoffre, J.-M.; Savin, O. 238 2010 Variational problems with free boundaries for the fractional Laplacian. Zbl 1221.35453 Caffarelli, Luis A.; Roquejoffre, Jean-Michel; Sire, Yannick 162 2010 Free boundaries in optimal transport and Monge-Ampère obstacle problems. Zbl 1196.35231 Caffarelli, Luis A.; McCann, Robert J. 56 2010 Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media. Zbl 1192.35048 Caffarelli, Luis A.; Souganidis, Panagiotis E. 53 2010 Continuity of the temperature in boundary heat control problems. Zbl 1190.35125 Athanasopoulos, I.; Caffarelli, L. A. 45 2010 Convergence of nonlocal threshold dynamics approximations to front propagation. Zbl 1190.65132 Caffarelli, Luis A.; Souganidis, Panagiotis E. 44 2010 The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics. Zbl 1210.76039 Caffarelli, Luis A.; Vasseur, Alexis F. 18 2010 Distance functions and almost global solutions of eikonal equations. Zbl 1187.35024 Caffarelli, Luis A.; Crandall, Michael G. 17 2010 On the Evans-Krylov theorem. Zbl 1180.35229 Caffarelli, Luis; Silvestre, Luis 9 2010 Analysis on the junctions of domain walls. Zbl 1193.35255 Caffarelli, Luis A.; Lin, Fang Hua 9 2010 Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations. Zbl 1208.35047 Caffarelli, Luis; Silvestre, Luis 9 2010 Regularity theory for fully nonlinear integro-differential equations. Zbl 1170.45006 Caffarelli, Luis; Silvestre, Luis 339 2009 Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068 Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis 38 2009 The geometry of solutions to a segregation problem for nondivergence systems. Zbl 1217.35015 Caffarelli, L. A.; Karakhanyan, A. L.; Lin, Fang-Hua 29 2009 Nonlocal heat flows preserving the \(L^2\) energy. Zbl 1154.35364 Caffarelli, Luis; Lin, Fanghua 22 2009 Random homogenization of an obstacle problem. Zbl 1180.35069 Caffarelli, L. A.; Mellet, A. 19 2009 Surfaces minimizing nonlocal energies. Zbl 1182.53055 Caffarelli, Luis A. 12 2009 Reflector problem in \({\mathbb R^n}\) endowed with non-Euclidean norm. Zbl 1173.78003 Caffarelli, Luis A.; Huang, Qingbo 6 2009 Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian. Zbl 1148.35097 Caffarelli, Luis A.; Salsa, Sandro; Silvestre, Luis 307 2008 Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries. Zbl 1194.35138 Caffarelli, L. A.; Lin, Fang-Hua 77 2008 The structure of the free boundary for lower dimensional obstacle problems. Zbl 1185.35339 Athanasopoulos, I.; Caffarelli, L. A.; Salsa, S. 72 2008 A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs. Zbl 1140.65075 Caffarelli, Luis A.; Souganidis, Panagiotis E. 39 2008 Weak solutions of one inverse problem in geometric optics. Zbl 1202.78003 Caffarelli, L. A.; Oliker, V. I. 26 2008 On the regularity of reflector antennas. Zbl 1140.35009 Caffarelli, Luis A.; Gutiíerrez, Cristian E.; Huang, Qingbo 24 2008 Random homogenization of fractional obstacle problems. Zbl 1156.74359 Caffarelli, Luis; Mellet, Antoine 13 2008 A counterexample to \(C^{2,1}\) regularity for parabolic fully nonlinear equations. Zbl 1162.35042 Caffarelli, Luis A.; Stefanelli, Ulisse 11 2008 Some nonlinear problems involving nonlocal diffusions. Zbl 1419.35203 Caffarelli, Luis A. 10 2008 Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization. Zbl 1155.65097 Caffarelli, L. A.; Glowinski, R. 6 2008 Viscosity method for homogenization of highly oscillating obstacles. Zbl 1158.35109 Caffarelli, Luis; Lee, Ki-Ahm 6 2008 An extension problem related to the fractional Laplacian. Zbl 1143.26002 Caffarelli, Luis; Silvestre, Luis 1,666 2007 An optimal partition problem for eigenvalues. Zbl 1123.65060 Cafferelli, L. A.; Lin, Fang Hua 60 2007 A constant rank theorem for solutions of fully nonlinear elliptic equations. Zbl 1191.35127 Caffarelli, Luis A.; Guan, Pengfei; Ma, Xinan 37 2007 Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames. Zbl 1189.35084 Caffarelli, Luis A.; Roquejoffre, Jean-Michel 19 2007 Capillary drops: contact angle hysteresis and sticking drops. Zbl 1168.76007 Caffarelli, L. A.; Mellet, A. 18 2007 Capillary drops on an inhomogeneous surface. Zbl 1200.76053 Caffarelli, L. A.; Mellet, A. 12 2007 ...and 183 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,196 Authors 131 Caffarelli, Luis Ángel 125 Valdinoci, Enrico 79 Vazquez, Juan Luis 75 Byun, Sun-Sig 69 Shahgholian, Henrik 69 Wei, Juncheng 65 Dipierro, Serena 58 Savin, Ovidiu V. 57 Wang, Lihe 54 Figalli, Alessio 54 Lee, Ki-Ahm 53 Sire, Yannick 53 Zhang, Binlin 48 Lin, Chang-Shou 47 Xiang, Mingqi 45 Bao, Jiguang 45 Quaas, Alexander 44 Ambrosio, Vincenzo 43 Garofalo, Nicola 41 Dong, Hongjie 40 Rădulescu, Vicenţiu D. 39 Li, YanYan 39 Wang, Xu-Jia 37 Rossi, Julio Daniel 37 Teixeira, Eduardo V. O. 36 Li, Dongsheng 35 Farina, Alberto 35 Friedman, Avner 35 Novaga, Matteo 35 Ros-Oton, Xavier 34 Ferrari, Fausto 32 Kim, Inwon Christina 31 De Silva, Daniela 31 Li, Congming 31 Squassina, Marco 31 Trudinger, Neil Sidney 30 Kenig, Carlos Eduardo 30 Nyström, Kaj 29 Petrosyan, Arshak 29 Weiss, Georg Sebastian 28 Banerjee, Agnid 28 González, María del Mar 28 Nochetto, Ricardo Horacio 28 Peral Alonso, Ireneo 28 Terracini, Susanna 28 Velichkov, Bozhidar 28 Vitolo, Antonio 27 Abdellaoui, Boumediene 27 da Silva, João Vítor 26 Gutiérrez, Cristian E. 26 Kang, Dongsheng 26 Miyagaki, Olimpio Hiroshi 26 Sciunzi, Berardino 26 Serra Montolí, Joaquim 26 Silvestre, Luis E. 26 Zheng, Shenzhou 25 Chen, Huyuan 25 Chen, Wenxiong 25 Del Pino, Manuel A. 25 Dolbeault, Jean 25 Felmer, Patricio L. 25 Karakhanyan, Aram L. 25 Lin, Fang Hua 25 Niu, Pengcheng 25 Wang, Kelei 24 Cao, Daomin 24 Dai, Limei 24 Ivochkina, Nina Mikhaĭlovna 24 Musso, Monica 24 Sirakov, Boyan Slavchev 24 Zou, Wenming 23 Bonforte, Matteo 23 Bucur, Dorin 23 Lu, Guozhen 23 Salsa, Sandro 23 Tang, Xianhua 23 Wang, Yanqing 23 Wolanski, Noemi I. 23 Xiong, Jingang 22 Birindelli, Isabeau 22 Dai, Wei 22 Hebey, Emmanuel 22 Salani, Paolo 22 Topp, Erwin 22 Zhang, Lei 21 Cabré, Xavier 21 Fall, Mouhamed Moustapha 21 Liu, Jianguo 21 Ma, Xi-Nan 21 Mayboroda, Svitlana 21 Peng, Shuangjie 21 Pistoia, Angela 21 Stinga, Pablo Raúl 21 Yao, Fengping 20 Antil, Harbir 20 Du, Lili 20 Jin, Tianling 20 McCann, Robert J. 20 Mingione, Giuseppe 20 Molica Bisci, Giovanni ...and 7,096 more Authors all top 5 Cited in 547 Serials 593 Journal of Differential Equations 516 Calculus of Variations and Partial Differential Equations 494 Nonlinear Analysis. 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(English Edition) 30 Topological Methods in Nonlinear Analysis 30 Milan Journal of Mathematics 28 Journal of Computational and Applied Mathematics 28 Journal für die Reine und Angewandte Mathematik 28 Mathematische Nachrichten 28 Interfaces and Free Boundaries 28 Mediterranean Journal of Mathematics 27 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 26 Indiana University Mathematics Journal 26 Journal of Elliptic and Parabolic Equations 25 Journal of Dynamics and Differential Equations 25 St. Petersburg Mathematical Journal 25 SN Partial Differential Equations and Applications 24 Israel Journal of Mathematics 24 Acta Mathematica 24 Journal of the American Mathematical Society 24 SIAM Journal on Scientific Computing 23 Applied Mathematics and Computation 23 Asymptotic Analysis 22 Rocky Mountain Journal of Mathematics 22 Journal of the London Mathematical Society. Second Series 22 Memoirs of the American Mathematical Society 22 Pacific Journal of Mathematics 22 Abstract and Applied Analysis 22 Journal of Inequalities and Applications 21 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 21 Journal of Fixed Point Theory and Applications 20 Archiv der Mathematik 20 Physica D 20 International Journal of Mathematics 20 Stochastic Processes and their Applications 20 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 447 more Serials all top 5 Cited in 57 Fields 8,605 Partial differential equations (35-XX) 1,230 Fluid mechanics (76-XX) 1,171 Calculus of variations and optimal control; optimization (49-XX) 738 Differential geometry (53-XX) 577 Operator theory (47-XX) 574 Global analysis, analysis on manifolds (58-XX) 565 Numerical analysis (65-XX) 508 Real functions (26-XX) 447 Probability theory and stochastic processes (60-XX) 442 Functional analysis (46-XX) 295 Potential theory (31-XX) 266 Integral equations (45-XX) 243 Harmonic analysis on Euclidean spaces (42-XX) 214 Mechanics of deformable solids (74-XX) 187 Statistical mechanics, structure of matter (82-XX) 173 Several complex variables and analytic spaces (32-XX) 166 Convex and discrete geometry (52-XX) 147 Ordinary differential equations (34-XX) 144 Quantum theory (81-XX) 131 Biology and other natural sciences (92-XX) 126 Measure and integration (28-XX) 126 Classical thermodynamics, heat transfer (80-XX) 112 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 109 Dynamical systems and ergodic theory (37-XX) 109 Systems theory; control (93-XX) 93 Geophysics (86-XX) 73 Operations research, mathematical programming (90-XX) 69 Functions of a complex variable (30-XX) 67 Optics, electromagnetic theory (78-XX) 39 Difference and functional equations (39-XX) 37 Topological groups, Lie groups (22-XX) 34 Statistics (62-XX) 32 Abstract harmonic analysis (43-XX) 32 Astronomy and astrophysics (85-XX) 31 Approximations and expansions (41-XX) 31 Computer science (68-XX) 30 Mechanics of particles and systems (70-XX) 29 Relativity and gravitational theory (83-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 26 Special functions (33-XX) 24 General and overarching topics; collections (00-XX) 21 Geometry (51-XX) 19 Information and communication theory, circuits (94-XX) 17 Combinatorics (05-XX) 16 Algebraic geometry (14-XX) 15 Integral transforms, operational calculus (44-XX) 11 History and biography (01-XX) 7 Number theory (11-XX) 7 General topology (54-XX) 6 Nonassociative rings and algebras (17-XX) 6 Manifolds and cell complexes (57-XX) 4 Algebraic topology (55-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 1 Mathematical logic and foundations (03-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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