Luis Caffarelli
Impact in
- Applied Mathematics top 0.01%
- Nonlinear Partial Differential Equations
- Geometric Analysis and Curvature Flows
- Navier-Stokes equation solutions
- Nonlinear Differential Equations Analysis
- Mathematical Physics top 0.01%
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems
Papers in
-
- Nonlinear Partial Differential Equations 127
- Geometric Analysis and Curvature Flows 52
- Differential Equations and Boundary Problems 19
- Nonlinear Differential Equations Analysis 18
-
- Advanced Mathematical Modeling in Engineering 123
- Co-authors
- Louis Nirenberg (13 shared papers)Joel Spruck (11 shared papers)Avner Friedman (34 shared papers)Robert V. Kohn (2 shared papers)Xavier Cabré (3 shared papers)Luís Silvestre (5 shared papers)Sandro Salsa (12 shared papers)Alexis Vasseur (3 shared papers)
- Journals
- Communications on Pure and Applied Mathematics (38 papers)Indiana University Mathematics Journal (21 papers)Archive for Rational Mechanics and Analysis (17 papers)Transactions of the American Mathematical Society (14 papers)Communications in Partial Differential Equations (13 papers)
- Partner nations
- United StatesItalyGreece
In The Last Decade
Luis Caffarelli
245 papers receiving 14.9k citations
Luis Caffarelli's Hit Papers
Peers
Comparison fields: 5 of 98
- Applied Mathematics 14.2k
- Mathematical Physics 5.6k
- Computational Theory and Mathematics 8.8k
- Geometry and Topology 2.5k
- Numerical Analysis 1.1k
Countries citing papers authored by Luis Caffarelli
This map shows the geographic impact of Luis Caffarelli's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Luis Caffarelli with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Luis Caffarelli more than expected).
Fields of papers citing papers by Luis Caffarelli
This network shows the impact of papers produced by Luis Caffarelli. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Luis Caffarelli. The network helps show where Luis Caffarelli may publish in the future.
Co-authors
The 25 scholars most cited alongside Luis Caffarelli, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 249 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Partial regularity of suitable weak solutions of the navier‐stokes equations Hit paper breakdown → | 1982 | 872 |
| 2 | Fully Nonlinear Elliptic Equations Hit paper breakdown → | 1995 | 856 |
| 3 | Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth Hit paper breakdown → | 1989 | 803 |
| 4 | First order interpolation inequalities with weights Hit paper breakdown → | 1984 | 627 |
| 5 | The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian Hit paper breakdown → | 1985 | 542 |
| 6 | Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation Hit paper breakdown → | 2010 | 497 |
| 7 | The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation Hit paper breakdown → | 1984 | 479 |
| 8 | 1989 | 363 | |
| 9 | Regularity theory for fully nonlinear integro‐differential equations Hit paper breakdown → | 2009 | 331 |
| 10 | 1998 | 314 | |
| 11 | Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian Hit paper breakdown → | 2007 | 286 |
| 12 | 1990 | 266 | |
| 13 | 1984 | 254 | |
| 14 | 1977 | 229 | |
| 15 | Nonlocal minimal surfaces Hit paper breakdown → | 2010 | 213 |
| 16 | 2005 | 206 | |
| 17 | 1992 | 194 | |
| 18 | 1998 | 193 | |
| 19 | 1996 | 191 | |
| 20 | 1990 | 187 |
About Luis Caffarelli
Luis Caffarelli is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Geometry and Topology and Numerical Analysis, having authored 249 papers that have together received 16.7k indexed citations. Recurring topics across this work include Nonlinear Partial Differential Equations (127 papers), Advanced Mathematical Modeling in Engineering (123 papers), Geometric Analysis and Curvature Flows (52 papers), Numerical methods in inverse problems (32 papers), Differential Equations and Numerical Methods (28 papers), Geometry and complex manifolds (23 papers), Differential Equations and Boundary Problems (19 papers) and Nonlinear Differential Equations Analysis (18 papers). The work is most often cited by research in Applied Mathematics (14.2k citations), Mathematical Physics (5.6k citations), Computational Theory and Mathematics (8.8k citations), Geometry and Topology (2.5k citations) and Numerical Analysis (1.1k citations). Luis Caffarelli has collaborated with scholars based in United States, Italy and Greece. Frequent co-authors include Louis Nirenberg, Joel Spruck, Avner Friedman, Robert V. Kohn, Xavier Cabré, Luís Silvestre, Sandro Salsa, Alexis Vasseur, Basilis Gidas and Hans Wilhelm Alt. Their work appears in journals such as Communications on Pure and Applied Mathematics, Indiana University Mathematics Journal, Archive for Rational Mechanics and Analysis, Transactions of the American Mathematical Society and Communications in Partial Differential Equations.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.