Pierre‐Louis Lions
Impact in
- Applied Mathematics top 0.01%
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Geometric Analysis and Curvature Flows
- Mathematical Physics top 0.01%
- Advanced Mathematical Physics Problems
- Numerical methods in inverse problems
Papers in
-
- Nonlinear Partial Differential Equations 54
- Navier-Stokes equation solutions 21
- Geometric Analysis and Curvature Flows 21
-
- Advanced Mathematical Modeling in Engineering 49
- Optimization and Variational Analysis 16
- Co-authors
- Michael G. Crandall (14 shared papers)Bertrand Mercier (2 shared papers)Jean‐Michel Lasry (17 shared papers)Antonin Chambolle (2 shared papers)Ronald J. DiPerna (3 shared papers)Panagiotis E. Souganidis (23 shared papers)Thierry Cazenave (2 shared papers)Henri Berestycki (2 shared papers)
- Journals
- Journal of Functional Analysis (10 papers)Communications in Partial Differential Equations (9 papers)Communications on Pure and Applied Mathematics (9 papers)Annales de l Institut Henri Poincaré C Analyse Non Linéaire (9 papers)Nonlinear Analysis (8 papers)
- Partner nations
- FranceUnited StatesItaly
In The Last Decade
Pierre‐Louis Lions
188 papers receiving 20.6k citations
Pierre‐Louis Lions's Hit Papers
Peers
Comparison fields: 5 of 133
- Applied Mathematics 12.8k
- Mathematical Physics 8.5k
- Computational Theory and Mathematics 9.0k
- Numerical Analysis 2.4k
- Modeling and Simulation 1.6k
Countries citing papers authored by Pierre‐Louis Lions
This map shows the geographic impact of Pierre‐Louis Lions'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 Pierre‐Louis Lions with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Pierre‐Louis Lions more than expected).
Fields of papers citing papers by Pierre‐Louis Lions
This network shows the impact of papers produced by Pierre‐Louis Lions. 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 Pierre‐Louis Lions. The network helps show where Pierre‐Louis Lions may publish in the future.
Co-authors
The 25 scholars most cited alongside Pierre‐Louis Lions, 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 192 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Viscosity solutions of Hamilton-Jacobi equations Hit paper breakdown → | 1983 | 1702 |
| 2 | The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. Hit paper breakdown → | 1984 | 1696 |
| 3 | Splitting Algorithms for the Sum of Two Nonlinear Operators Hit paper breakdown → | 1979 | 1205 |
| 4 | The concentration-compactness principle in the Calculus of Variations. The Locally compact case, part 2 Hit paper breakdown → | 1984 | 1118 |
| 5 | Image recovery via total variation minimization and related problems Hit paper breakdown → | 1997 | 1066 |
| 6 | The Concentration-Compactness Principle in the Calculus of Variations. The limit case, Part 1 Hit paper breakdown → | 1985 | 1041 |
| 7 | Generalized Solutions of Hamilton-Jacobi Equations Hit paper breakdown → | 1982 | 855 |
| 8 | Some properties of viscosity solutions of Hamilton-Jacobi equations Hit paper breakdown → | 1984 | 784 |
| 9 | On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability Hit paper breakdown → | 1989 | 746 |
| 10 | Orbital stability of standing waves for some nonlinear Schr�dinger equations Hit paper breakdown → | 1982 | 683 |
| 11 | Nonlinear scalar field equations, II existence of infinitely many solutions Hit paper breakdown → | 1983 | 560 |
| 12 | Jeux à champ moyen. I – Le cas stationnaire Hit paper breakdown → | 2006 | 548 |
| 13 | Stochastic differential equations with reflecting boundary conditions Hit paper breakdown → | 1984 | 513 |
| 14 | Jeux à champ moyen. II – Horizon fini et contrôle optimal Hit paper breakdown → | 2006 | 486 |
| 15 | On the Existence of Positive Solutions of Semilinear Elliptic Equations Hit paper breakdown → | 1982 | 474 |
| 16 | 1980 | 448 | |
| 17 | 1984 | 421 | |
| 18 | 1990 | 343 | |
| 19 | 1994 | 280 | |
| 20 | 1983 | 274 |
About Pierre‐Louis Lions
Pierre‐Louis Lions is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Finance and Computational Mechanics, having authored 192 papers that have together received 23.3k indexed citations. Recurring topics across this work include Nonlinear Partial Differential Equations (54 papers), Advanced Mathematical Modeling in Engineering (49 papers), Stochastic processes and financial applications (39 papers), Navier-Stokes equation solutions (21 papers), Geometric Analysis and Curvature Flows (21 papers), Optimization and Variational Analysis (16 papers), Advanced Mathematical Physics Problems (15 papers) and Numerical methods in inverse problems (13 papers). The work is most often cited by research in Applied Mathematics (12.8k citations), Mathematical Physics (8.5k citations), Computational Theory and Mathematics (9.0k citations), Numerical Analysis (2.4k citations) and Modeling and Simulation (1.6k citations). Pierre‐Louis Lions has collaborated with scholars based in France, United States and Italy. Frequent co-authors include Michael G. Crandall, Bertrand Mercier, Jean‐Michel Lasry, Antonin Chambolle, Ronald J. DiPerna, Panagiotis E. Souganidis, Thierry Cazenave, Henri Berestycki, Benoı̂t Perthame and L. C. Evans. Their work appears in journals such as Journal of Functional Analysis, Communications in Partial Differential Equations, Communications on Pure and Applied Mathematics, Annales de l Institut Henri Poincaré C Analyse Non Linéaire and Nonlinear Analysis.
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.