Xavier Cabré
Impact in
- Applied Mathematics top 0.05%
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Geometric Analysis and Curvature Flows
- Differential Equations and Boundary Problems
- Mathematical Physics top 0.5%
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems
Papers in
-
- Nonlinear Partial Differential Equations 59
- Nonlinear Differential Equations Analysis 16
- Geometric Analysis and Curvature Flows 11
-
- Advanced Mathematical Modeling in Engineering 46
- Co-authors
- Luis Caffarelli (3 shared papers)Yannick Sire (2 shared papers)Jinggang Tan (1 shared paper)Rafael de la Llave (3 shared papers)Ernest Fontich (3 shared papers)Luigi Ambrosio (2 shared papers)Yvan Martel (2 shared papers)J. Solà‐Morales (2 shared papers)
- Journals
- Discrete and Continuous Dynamical Systems (4 papers)Communications on Pure and Applied Mathematics (4 papers)Comptes Rendus Mathématique (4 papers)Communications in Partial Differential Equations (4 papers)Journal de Mathématiques Pures et Appliquées (3 papers)
- Partner nations
- SpainFranceUnited States
In The Last Decade
Xavier Cabré
72 papers receiving 3.9k citations
Xavier Cabré's Hit Papers
Peers
Comparison fields: 5 of 80
- Applied Mathematics 3.4k
- Mathematical Physics 1.4k
- Computational Theory and Mathematics 2.5k
- Numerical Analysis 434
- Geometry and Topology 418
Countries citing papers authored by Xavier Cabré
This map shows the geographic impact of Xavier Cabré'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 Xavier Cabré with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Xavier Cabré more than expected).
Fields of papers citing papers by Xavier Cabré
This network shows the impact of papers produced by Xavier Cabré. 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 Xavier Cabré. The network helps show where Xavier Cabré may publish in the future.
Co-authors
The 25 scholars most cited alongside Xavier Cabré, 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 76 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Fully Nonlinear Elliptic Equations Hit paper breakdown → | 1995 | 901 |
| 2 | Positive solutions of nonlinear problems involving the square root of the Laplacian Hit paper breakdown → | 2010 | 379 |
| 3 | Nonlinear equations for fractional Laplacians I: Regularity, maximum\n principles, and Hamiltonian estimates Hit paper breakdown → | 2010 | 332 |
| 4 | 2000 | 209 | |
| 5 | 2003 | 187 | |
| 6 | 2005 | 176 | |
| 7 | 2005 | 155 | |
| 8 | Some simple nonlinear PDE's without solutions | 1998 | 148 |
| 9 | 2001 | 132 | |
| 10 | 2014 | 127 | |
| 11 | 2003 | 126 | |
| 12 | 1999 | 115 | |
| 13 | 1995 | 98 | |
| 14 | 2013 | 98 | |
| 15 | 2006 | 75 | |
| 16 | 2008 | 69 | |
| 17 | 1998 | 56 | |
| 18 | 2013 | 55 | |
| 19 | 2012 | 50 | |
| 20 | 2016 | 49 |
About Xavier Cabré
Xavier Cabré is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis and Control and Systems Engineering, having authored 76 papers that have together received 4.3k indexed citations. Recurring topics across this work include Nonlinear Partial Differential Equations (59 papers), Advanced Mathematical Modeling in Engineering (46 papers), Nonlinear Differential Equations Analysis (16 papers), Numerical methods in inverse problems (12 papers), Geometric Analysis and Curvature Flows (11 papers), Differential Equations and Numerical Methods (7 papers), Stability and Controllability of Differential Equations (6 papers) and Advanced Mathematical Physics Problems (6 papers). The work is most often cited by research in Applied Mathematics (3.4k citations), Mathematical Physics (1.4k citations), Computational Theory and Mathematics (2.5k citations), Numerical Analysis (434 citations) and Geometry and Topology (418 citations). Xavier Cabré has collaborated with scholars based in Spain, France and United States. Frequent co-authors include Luis Caffarelli, Yannick Sire, Jinggang Tan, Rafael de la Llave, Ernest Fontich, Luigi Ambrosio, Yvan Martel, J. Solà‐Morales, Xavier Ros‐Oton and Haïm Brézis. Their work appears in journals such as Discrete and Continuous Dynamical Systems, Communications on Pure and Applied Mathematics, Comptes Rendus Mathématique, Communications in Partial Differential Equations and Journal de Mathématiques Pures et Appliquées.
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.