Alfonso Castro
Impact in
- Applied Mathematics top 0.5%
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems
- Computational Theory and Mathematics top 0.5%
- Advanced Mathematical Modeling in Engineering
Papers in
-
- Nonlinear Partial Differential Equations 57
- Nonlinear Differential Equations Analysis 41
- Differential Equations and Boundary Problems 16
-
- Advanced Mathematical Modeling in Engineering 49
- Co-authors
- R. Shivaji (18 shared papers)Jorge Cossío (13 shared papers)John M. Neuberger (3 shared papers)A. C. Lazer (1 shared paper)Mónica Clapp (2 shared papers)Rosa Pardo San Gil (7 shared papers)Lakshmi Sankar (1 shared paper)K.J. Brown (1 shared paper)
- Journals
- Proceedings of the American Mathematical Society (7 papers)Transactions of the American Mathematical Society (6 papers)Nonlinear Analysis (5 papers)Journal of Mathematical Analysis and Applications (5 papers)Proceedings of the Royal Society of Edinburgh Section A Mathematics (5 papers)
- Partner nations
- United StatesColombiaSpain
In The Last Decade
Alfonso Castro
69 papers receiving 1.1k citations
Peers
Comparison fields: 5 of 50
- Applied Mathematics 1.2k
- Computational Theory and Mathematics 980
- Numerical Analysis 187
- Mathematical Physics 263
- Modeling and Simulation 43
Countries citing papers authored by Alfonso Castro
This map shows the geographic impact of Alfonso Castro'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 Alfonso Castro with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alfonso Castro more than expected).
Fields of papers citing papers by Alfonso Castro
This network shows the impact of papers produced by Alfonso Castro. 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 Alfonso Castro. The network helps show where Alfonso Castro may publish in the future.
Co-authors
The 14 scholars most cited alongside Alfonso Castro, 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 79 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 1997 | 204 | |
| 2 | 1979 | 98 | |
| 3 | A minmax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems | 1998 | 86 |
| 4 | 1987 | 51 | |
| 5 | 1988 | 50 | |
| 6 | Nonlinear eigenvalue problems with semipositone structure | 2000 | 47 |
| 7 | 2003 | 45 | |
| 8 | 1989 | 44 | |
| 9 | 1994 | 42 | |
| 10 | 1993 | 35 | |
| 11 | 1989 | 35 | |
| 12 | 1993 | 28 | |
| 13 | 1995 | 27 | |
| 14 | 2012 | 26 | |
| 15 | 1998 | 25 | |
| 16 | 1989 | 25 | |
| 17 | 1978 | 21 | |
| 18 | 1988 | 21 | |
| 19 | 1997 | 20 | |
| 20 | 1995 | 20 |
About Alfonso Castro
Alfonso Castro is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis and Control and Systems Engineering, having authored 79 papers that have together received 1.3k indexed citations. Recurring topics across this work include Nonlinear Partial Differential Equations (57 papers), Advanced Mathematical Modeling in Engineering (49 papers), Nonlinear Differential Equations Analysis (41 papers), Differential Equations and Boundary Problems (16 papers), Differential Equations and Numerical Methods (11 papers), Stability and Controllability of Differential Equations (8 papers), Advanced Differential Equations and Dynamical Systems (6 papers) and Advanced Mathematical Physics Problems (6 papers). The work is most often cited by research in Applied Mathematics (1.2k citations), Computational Theory and Mathematics (980 citations), Numerical Analysis (187 citations), Mathematical Physics (263 citations) and Modeling and Simulation (43 citations). Alfonso Castro has collaborated with scholars based in United States, Colombia and Spain. Frequent co-authors include R. Shivaji, Jorge Cossío, John M. Neuberger, A. C. Lazer, Mónica Clapp, Rosa Pardo San Gil, Lakshmi Sankar, K.J. Brown, Carlos Vélez and C. C. Chang. Their work appears in journals such as Proceedings of the American Mathematical Society, Transactions of the American Mathematical Society, Nonlinear Analysis, Journal of Mathematical Analysis and Applications and Proceedings of the Royal Society of Edinburgh Section A Mathematics.
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.