Philippe Benilán
Impact in
- Applied Mathematics top 0.2%
- Nonlinear Partial Differential Equations
- Differential Equations and Boundary Problems
- Nonlinear Differential Equations Analysis
- Mathematical Physics top 1%
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems
Papers in
-
- Nonlinear Partial Differential Equations 14
- Differential Equations and Boundary Problems 9
- Nonlinear Differential Equations Analysis 7
- Navier-Stokes equation solutions 6
-
- Advanced Mathematical Modeling in Engineering 19
- Co-authors
- Michael G. Crandall (5 shared papers)Michel Pierre (3 shared papers)Lucio Boccardo (2 shared papers)Thierry Gallouët (1 shared paper)Haïm Brézis (2 shared papers)Petra Wittbold (5 shared papers)H. Brézis (2 shared papers)Paul Sacks (1 shared paper)
- Journals
- Journal of Evolution Equations (4 papers)Journal of Functional Analysis (3 papers)Indiana University Mathematics Journal (2 papers)Journal of Differential Equations (2 papers)Potential Analysis (2 papers)
- Partner nations
- FranceSpainUnited States
In The Last Decade
Philippe Benilán
39 papers receiving 1.4k citations
Philippe Benilán's Hit Papers
Peers
Comparison fields: 5 of 55
- Applied Mathematics 1.3k
- Mathematical Physics 771
- Computational Theory and Mathematics 1.1k
- Numerical Analysis 201
- Modeling and Simulation 76
Countries citing papers authored by Philippe Benilán
This map shows the geographic impact of Philippe Benilán'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 Philippe Benilán with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Philippe Benilán more than expected).
Fields of papers citing papers by Philippe Benilán
This network shows the impact of papers produced by Philippe Benilán. 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 Philippe Benilán. The network helps show where Philippe Benilán may publish in the future.
Co-authors
The 25 scholars most cited alongside Philippe Benilán, 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 40 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | An $L^1$ -theory of existence and uniqueness of solutions of nonlinear elliptic equations Hit paper breakdown → | 1995 | 601 |
| 2 | Equations d'évolution dans un espace de Banach quelconque et applications | 1972 | 199 |
| 3 | 1981 | 129 | |
| 4 | 1984 | 114 | |
| 5 | A semilinear equation in $L^1 (\mathbb {R}^N)$ | 1975 | 82 |
| 6 | 1996 | 72 | |
| 7 | 2003 | 69 | |
| 8 | 1988 | 62 | |
| 9 | 1972 | 44 | |
| 10 | 1996 | 43 | |
| 11 | Renormalized entropy solutions of scalar conservation laws. | 2000 | 39 |
| 12 | Physical origins and classical methods | 1990 | 29 |
| 13 | 1995 | 27 | |
| 14 | 1995 | 24 | |
| 15 | 2000 | 23 | |
| 16 | Recent advances in nonlinear elliptic and parabolic problems | 1989 | 23 |
| 17 | 2000 | 11 | |
| 18 | 1987 | 11 | |
| 19 | 1992 | 8 | |
| 20 | 1982 | 8 |
About Philippe Benilán
Philippe Benilán is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis and Control and Systems Engineering, having authored 40 papers that have together received 1.7k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (19 papers), Nonlinear Partial Differential Equations (14 papers), Differential Equations and Boundary Problems (9 papers), Differential Equations and Numerical Methods (7 papers), Nonlinear Differential Equations Analysis (7 papers), Stability and Controllability of Differential Equations (6 papers), Navier-Stokes equation solutions (6 papers) and advanced mathematical theories (4 papers). The work is most often cited by research in Applied Mathematics (1.3k citations), Mathematical Physics (771 citations), Computational Theory and Mathematics (1.1k citations), Numerical Analysis (201 citations) and Modeling and Simulation (76 citations). Philippe Benilán has collaborated with scholars based in France, Spain and United States. Frequent co-authors include Michael G. Crandall, Michel Pierre, Lucio Boccardo, Thierry Gallouët, Haïm Brézis, Petra Wittbold, H. Brézis, Paul Sacks, José A. Carrillo and S. N. Kruzhkov. Their work appears in journals such as Journal of Evolution Equations, Journal of Functional Analysis, Indiana University Mathematics Journal, Journal of Differential Equations and Potential 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.