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Luis Caffarelli

Active 1976–2021

118
Papers
26,186
Citations
73
h-index
117
i10-index

Citations

Citations per year for Luis Caffarelli1905: 1 citations1976: 2 citations1977: 6 citations1978: 5 citations1979: 2 citations1980: 7 citations1981: 2 citations1982: 4 citations1983: 6 citations1984: 14 citations1985: 25 citations1986: 24 citations1987: 21 citations1988: 14 citations1989: 15 citations1990: 18 citations1991: 23 citations1992: 24 citations1993: 13 citations1994: 16 citations1995: 29 citations1996: 46 citations1997: 44 citations1998: 55 citations1999: 54 citations2000: 81 citations2001: 62 citations2002: 75 citations2003: 123 citations2004: 133 citations2005: 121 citations2006: 153 citations2007: 135 citations2008: 131 citations2009: 185 citations2010: 200 citations2011: 165 citations2012: 201 citations2013: 214 citations2014: 247 citations2015: 261 citations2016: 283 citations2017: 209 citations2018: 207 citations2019: 323 citations2020: 278 citations2021: 228 citations2022: 210 citations2023: 131 citations2024: 177 citations2025: 100 citations2026: 36 citations2027: 1 citations1906–1975: no citations, so these years are not shown

Citation sources

Countries

World map of the countries and regions citing this authorUnited States: 978 citing papers, 23.2% of this breakdownChina: 599 citing papers, 14.2% of this breakdownItaly: 458 citing papers, 10.9% of this breakdownFrance: 394 citing papers, 9.3% of this breakdownGermany: 191 citing papers, 4.5% of this breakdownSpain: 175 citing papers, 4.1% of this breakdownCanada: 100 citing papers, 2.4% of this breakdownChile: 95 citing papers, 2.3% of this breakdownUnited Kingdom: 92 citing papers, 2.2% of this breakdownSouth Korea: 92 citing papers, 2.2% of this breakdownBrazil: 79 citing papers, 1.9% of this breakdownJapan: 72 citing papers, 1.7% of this breakdown
0%23.2%Other 21.1%

Institutions

Fields

  • Mathematics65.3%
  • Computer Science21.6%
  • Engineering6.5%
  • Materials Science2.1%
  • Economics, Econometrics and Finance1.5%
  • Physics and Astronomy1.1%
  • Other1.9%

Topics

  • Advanced Mathematical Modeling in Engineering24.1%
  • Nonlinear Partial Differential Equations22.1%
  • Numerical methods in inverse problems5.8%
  • Geometric Analysis and Curvature Flows4.5%
  • Nonlinear Differential Equations Analysis4.4%
  • Advanced Mathematical Physics Problems3.5%
  • Other35.6%

Coauthors

All papers

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  1. An Extension Problem Related to the Fractional Laplacian

    Authors: Luis Caffarelli, Luis Silvestre - Communications in Partial Differential Equations 2006 cited by 2,291

  2. Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

    Authors: Luis Caffarelli, Basilis Gidas, Joel Spruck - Communications on Pure and Applied Mathematics 1989 cited by 1,331

  3. The Regularity of Mappings with a Convex Potential

    Authors: Luis Caffarelli - Journal of the American Mathematical Society 1992 cited by 381

  4. Regularity theory for fully nonlinear integro‐differential equations

    Authors: Luis Caffarelli, Luís Silvestre - Communications on Pure and Applied Mathematics 2009 cited by 614

  5. Fully Nonlinear Elliptic Equations

    Authors: Luis Caffarelli, Xavier Cabré - Colloquium Publications - American Mathematical Society/Colloquium Publications 1995 cited by 1,427

  6. Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

    Authors: Luis Caffarelli, Alexis Vasseur - Annals of Mathematics 2010 cited by 930

  7. Interior W 2, p Estimates for Solutions of the Monge-Ampere Equation

    Authors: Luis Caffarelli - Annals of Mathematics 1990 cited by 405

  8. Fractional elliptic equations, Caccioppoli estimates and regularity

    Authors: Pablo Raúl Stinga, Luis Caffarelli - Annales de l Institut Henri Poincaré C Analyse Non Linéaire 2015 cited by 238

  9. The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian

    Authors: Luis Caffarelli, Louis Nirenberg, Joel Spruck - Acta Mathematica 1985 cited by 883

  10. Nonlocal minimal surfaces

    Authors: Luis Caffarelli, Jean -Michel Roquejoffre, Ovidiu Savin - Communications on Pure and Applied Mathematics 2010 cited by 460

  11. Non-local Diffusions, Drifts and Games

    Authors: Luis Caffarelli - Abel symposia 2012 cited by 353

  12. Boundary Regularity of Maps with Convex Potentials-II

    Authors: Luis Caffarelli - Annals of Mathematics 1996 cited by 241

  13. An L∞ bound for solutions of the Cahn-Hilliard equation

    Authors: Luis Caffarelli, Nora Muler - Archive for Rational Mechanics and Analysis 1995 cited by 161

  14. How an Initially Stationary Interface Begins to Move in Porous Medium Flow

    Authors: D. G. Aronson, Luis Caffarelli, S. Kamin - SIAM Journal on Mathematical Analysis 1983 cited by 129

  15. The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation

    Authors: Luis Caffarelli, Louis Nirenberg, Joel Spruck - Communications on Pure and Applied Mathematics 1984 cited by 797

  16. A Geometric Approach to Free Boundary Problems

    Authors: Luis Caffarelli, Sandro Salsa - Graduate studies in mathematics 2005 cited by 383

  17. A Localization Property of Viscosity Solutions to the Monge-Ampere Equation and their Strict Convexity

    Authors: Luis Caffarelli - Annals of Mathematics 1990 cited by 309

  18. Regularity theory for parabolic nonlinear integral operators

    Authors: Luis Caffarelli, Chi Hin Chan, Alexis Vasseur - Journal of the American Mathematical Society 2011 cited by 172

  19. Partial regularity of suitable weak solutions of the navier‐stokes equations

    Authors: Luis Caffarelli, Robert V. Kohn, Louis Nirenberg - Communications on Pure and Applied Mathematics 1982 cited by 1,575

  20. Interior a Priori Estimates for Solutions of Fully Non-Linear Equations

    Authors: Luis Caffarelli - Annals of Mathematics 1989 cited by 568

  21. Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

    Authors: Luis Caffarelli, Sandro Salsa, Luís Silvestre - Inventiones mathematicae 2007 cited by 558

  22. The regularity of free boundaries in higher dimensions

    Authors: Luis Caffarelli - Acta Mathematica 1977 cited by 393

  23. On viscosity solutions of fully nonlinear equations with measurable ingredients

    Authors: Luis Caffarelli, Michael G. Crandall, Maciej Kocan, A. ?wi?ch - Communications on Pure and Applied Mathematics 1996 cited by 314

  24. Some regularity properties of solutions of Monge Ampère equation

    Authors: Luis Caffarelli - Communications on Pure and Applied Mathematics 1991 cited by 245