Luis Caffarelli

29.5k total citations · 10 hit papers
249 papers, 16.7k citations indexed

About

Luis Caffarelli is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Luis Caffarelli has authored 249 papers receiving a total of 16.7k indexed citations (citations by other indexed papers that have themselves been cited), including 173 papers in Applied Mathematics, 134 papers in Computational Theory and Mathematics and 63 papers in Mathematical Physics. Recurrent topics in Luis Caffarelli's work include Nonlinear Partial Differential Equations (127 papers), Advanced Mathematical Modeling in Engineering (123 papers) and Geometric Analysis and Curvature Flows (52 papers). Luis Caffarelli is often cited by papers focused on Nonlinear Partial Differential Equations (127 papers), Advanced Mathematical Modeling in Engineering (123 papers) and Geometric Analysis and Curvature Flows (52 papers). Luis Caffarelli collaborates with scholars based in United States, Italy and Greece. Luis Caffarelli's 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 and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Luis Caffarelli

245 papers receiving 14.9k citations

Hit Papers

5 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

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

1982 872 citations Luis Caffarelli et al. Communications on Pure and Applied Mathematics profile →
Fully Nonlinear Elliptic Equations

1995 856 citations Luis Caffarelli et al. profile →
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

1989 803 citations Luis Caffarelli et al. Communications on Pure and Applied Mathematics profile →
First order interpolation inequalities with weights

1984 627 citations Luis Caffarelli et al. profile →
The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian

1985 542 citations Luis Caffarelli et al. profile →
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

2010 497 citations Luis Caffarelli et al. profile →
The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation

1984 479 citations Luis Caffarelli et al. Communications on Pure and Applied Mathematics profile →
Regularity theory for fully nonlinear integro‐differential equations

2009 331 citations Luis Caffarelli et al. Communications on Pure and Applied Mathematics profile →
Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

2007 286 citations Luis Caffarelli et al. profile →
Nonlocal minimal surfaces

2010 213 citations Luis Caffarelli et al. Communications on Pure and Applied Mathematics profile →

Peers

Countries citing papers authored by Luis Caffarelli

Since Specialization

Citations

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

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Luis Caffarelli

This figure shows the co-authorship network connecting the top 25 collaborators of Luis Caffarelli. A scholar is included among the top collaborators of Luis Caffarelli based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Luis Caffarelli. Luis Caffarelli is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

#	Work	Indexed citations
1	Fractional elliptic equations, Caccioppoli estimates and regularity 2015 ·Annales de l Institut Henri Poincaré C Analyse Non Linéaire ·Pablo Raúl Stinga, Luis Caffarelli	114
2	Distance Functions and Almost Global Solutions of Eikonal Equations 2010 ·Communications in Partial Differential Equations ·Luis Caffarelli, Michael G. Crandall	17
3	A Liouville theorem for solutions of the Monge–Ampère equation with periodic data 2004 ·Annales de l Institut Henri Poincaré C Analyse Non Linéaire ·Yanyan Li, Luis Caffarelli	29
4	Un théorème de Liouville pour les solutions de l'équation de Monge–Ampère avec données periodiques 2003 ·Annales de l Institut Henri Poincaré C Analyse Non Linéaire ·Luis Caffarelli	2
5	ON THE REGULARITY OF SOLUTIONS TO MONGE-AMPÈRE EQUATIONS ON HESSIAN MANIFOLDS 2001 ·Communications in Partial Differential Equations ·Luis Caffarelli, Jeff Viaclovsky	5
6	An area‐Dirichlet integral minimization problem 2001 ·Communications on Pure and Applied Mathematics ·(unknown), Luis Caffarelli, (unknown), (unknown)	4
7	Monge Ampère equation : applications to geometry and optimization : NSF-CBMS Conference on the Monge Ampère Equation : Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University 1999 ·American Mathematical Society eBooks ·Luis Caffarelli, Mario Milman	3
8	Hyperbolic Equations and Frequency Interactions 1998 ·(unknown), Luis Caffarelli, E Weinan	32
9	A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation 1995 ·Transactions of the American Mathematical Society ·Luis Caffarelli, Juan Luís Vázquez	31
10	A free-boundary problem for the heat equation arising in flame propagation 1995 ·Transactions of the American Mathematical Society ·Luis Caffarelli, Juan Luís Vázquez	79
11	The Regularity of Mappings with a Convex Potential 1992 ·Journal of the American Mathematical Society ·Luis Caffarelli	52
12	The regularity of mappings with a convex potential 1992 ·Journal of the American Mathematical Society ·Luis Caffarelli	194
13	The Blow-Up Boundary for Nonlinear Wave Equations 1986 ·Transactions of the American Mathematical Society ·Luis Caffarelli, Avner Friedman	13
14	The blow-up boundary for nonlinear wave equations 1986 ·Transactions of the American Mathematical Society ·Luis Caffarelli, Avner Friedman	54
15	Variational problems with two phases and their free boundaries 1984 ·Transactions of the American Mathematical Society ·Hans Wilhelm Alt, Luis Caffarelli, Avner Friedman	254
16	The Initial Trace of a Solution of the Porous Medium Equation 1983 ·Transactions of the American Mathematical Society ·(unknown), Luis Caffarelli	34
17	Continuity of the density of a gas flow in a porous medium 1979 ·Transactions of the American Mathematical Society ·Luis Caffarelli, Avner Friedman	62
18	The Smoothness of the Elastic-Plastic Free Boundary of a Twisted Bar 1977 ·Proceedings of the American Mathematical Society ·Luis Caffarelli, N. M. Rivière	4
19	The smoothness of the elastic-plastic free boundary of a twisted bar 1977 ·Proceedings of the American Mathematical Society ·Luis Caffarelli, N. M. Rivière	6
20	Certain multiple valued harmonic function 1976 ·Proceedings of the American Mathematical Society ·Luis Caffarelli	5

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.

Explore authors with similar magnitude of impact