Gerson Petronilho
- Mathematical Physics top 2%
- Applied Mathematics top 2%
- Statistical and Nonlinear Physics top 5%
- Geometry and Topology top 5%
- Algebra and Number Theory
- Topics
- Advanced Mathematical Physics Problems (18 papers)Nonlinear Waves and Solitons (13 papers)Mathematical Analysis and Transform Methods (13 papers)
- Journals
- Journal of Mathematical Analysis and ApplicationsTransactions of the American Mathematical SocietyJournal of Differential Equations
- Partner nations
- BrazilUnited StatesAustria
In The Last Decade
Gerson Petronilho
43 papers receiving 432 citations
Peers
Comparison fields: 5 of 20
- Mathematical Physics 354
- Applied Mathematics 255
- Statistical and Nonlinear Physics 177
- Geometry and Topology 137
- Algebra and Number Theory 27
Countries citing papers authored by Gerson Petronilho
This map shows the geographic impact of Gerson Petronilho'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 Gerson Petronilho with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerson Petronilho more than expected).
Fields of papers citing papers by Gerson Petronilho
This network shows the impact of papers produced by Gerson Petronilho. 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 Gerson Petronilho. The network helps show where Gerson Petronilho may publish in the future.
Co-authorship network of co-authors of Gerson Petronilho
This figure shows the co-authorship network connecting the top 25 collaborators of Gerson Petronilho. A scholar is included among the top collaborators of Gerson Petronilho 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 Gerson Petronilho. Gerson Petronilho is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 1 | |
| 2 | 3 | |
| 3 | 1 | |
| 4 | 5 | |
| 5 | 9 | |
| 6 | 7 | |
| 7 | 24 | |
| 8 | 25 | |
| 9 | 31 | |
| 10 | 2 | |
| 11 | 37 | |
| 12 | 6 | |
| 13 | 10 | |
| 14 | 11 | |
| 15 | 12 | |
| 16 | 28 | |
| 17 | 14 | |
| 18 | 10 | |
| 19 | A construction of parametrices of elliptic boundary value problems | 1 |
| 20 | 0 |
About Gerson Petronilho
Gerson Petronilho is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology, having authored 45 papers that have together received 446 indexed citations. Recurring topics across this work include Advanced Mathematical Physics Problems (18 papers), Nonlinear Waves and Solitons (13 papers) and Mathematical Analysis and Transform Methods (13 papers). The work is most often cited by research in Mathematical Physics (354 citations), Applied Mathematics (255 citations) and Geometry and Topology (137 citations). Gerson Petronilho has collaborated with scholars based in Brazil, United States and Austria. Frequent co-authors include A. Alexandrou Himonas, Adalberto P. Bergamasco, Paulo D. Cordaro and Curtis Holliman. Their work appears in journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Differential Equations.
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.