Ilkka Holopainen
- Applied Mathematics top 1%
- Geometry and Topology top 2%
- Computational Theory and Mathematics top 5%
- Mathematical Physics top 5%
- Astronomy and Astrophysics
- Co-authors
- Paolo M. SoardiJuha HeinonenSeppo RickmanL. Saloff‐CosteThierry CoulhonJeremy T. TysonNageswari ShanmugalingamPekka Koskela
- Topics
- Geometric Analysis and Curvature Flows (24 papers)Nonlinear Partial Differential Equations (20 papers)Analytic and geometric function theory (13 papers)
- Journals
- SHILAP Revista de lepidopterologíaProceedings of the American Mathematical SocietyDuke Mathematical Journal
- Partner nations
- FinlandBrazilUnited States
In The Last Decade
Ilkka Holopainen
32 papers receiving 507 citations
Peers
Comparison fields: 5 of 22
- Applied Mathematics 541
- Geometry and Topology 346
- Computational Theory and Mathematics 182
- Mathematical Physics 147
- Astronomy and Astrophysics 24
Countries citing papers authored by Ilkka Holopainen
This map shows the geographic impact of Ilkka Holopainen'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 Ilkka Holopainen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ilkka Holopainen more than expected).
Fields of papers citing papers by Ilkka Holopainen
This network shows the impact of papers produced by Ilkka Holopainen. 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 Ilkka Holopainen. The network helps show where Ilkka Holopainen may publish in the future.
Co-authorship network of co-authors of Ilkka Holopainen
This figure shows the co-authorship network connecting the top 25 collaborators of Ilkka Holopainen. A scholar is included among the top collaborators of Ilkka Holopainen 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 Ilkka Holopainen. Ilkka Holopainen is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 0 | |
| 2 | 2 | |
| 3 | 3 | |
| 4 | 6 | |
| 5 | 8 | |
| 6 | Mappings of finite distortion: Global homeomorphism theorem | 15 |
| 7 | 5 | |
| 8 | Singular functions on metric measure spaces. | 16 |
| 9 | 15 | |
| 10 | 24 | |
| 11 | 16 | |
| 12 | A strong Liouville theorem for $p$-harmonic functions on graphs | 37 |
| 13 | 58 | |
| 14 | 55 | |
| 15 | 2 | |
| 16 | 15 | |
| 17 | 29 | |
| 18 | 12 | |
| 19 | 18 | |
| 20 | 29 |
About Ilkka Holopainen
Ilkka Holopainen is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics, having authored 35 papers that have together received 589 indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (24 papers), Nonlinear Partial Differential Equations (20 papers) and Analytic and geometric function theory (13 papers). The work is most often cited by research in Applied Mathematics (541 citations), Geometry and Topology (346 citations) and Mathematical Physics (147 citations). Ilkka Holopainen has collaborated with scholars based in Finland, Brazil and United States. Frequent co-authors include Paolo M. Soardi, Juha Heinonen, Seppo Rickman, L. Saloff‐Coste, Thierry Coulhon, Jeremy T. Tyson, Nageswari Shanmugalingam, Pekka Koskela, Zoltán M. Balogh and Jaime Ripoll. Their work appears in journals such as SHILAP Revista de lepidopterología, Proceedings of the American Mathematical Society and Duke Mathematical Journal.
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.