Ilkka Holopainen

978 total citations
35 papers, 589 citations indexed

About

Ilkka Holopainen is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Ilkka Holopainen has authored 35 papers receiving a total of 589 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Applied Mathematics, 20 papers in Geometry and Topology and 10 papers in Computational Theory and Mathematics. Recurrent topics in Ilkka Holopainen's work include Geometric Analysis and Curvature Flows (24 papers), Nonlinear Partial Differential Equations (20 papers) and Analytic and geometric function theory (13 papers). Ilkka Holopainen is often cited by papers focused on Geometric Analysis and Curvature Flows (24 papers), Nonlinear Partial Differential Equations (20 papers) and Analytic and geometric function theory (13 papers). Ilkka Holopainen collaborates with scholars based in Finland, Brazil and United States. Ilkka Holopainen's co-authors include Paolo M. Soardi, Juha Heinonen, Seppo Rickman, L. Saloff‐Coste, Thierry Coulhon, Nageswari Shanmugalingam, Jeremy T. Tyson, Zoltán M. Balogh, Pekka Koskela and Jaime Ripoll and has published in prestigious journals such as SHILAP Revista de lepidopterología, Proceedings of the American Mathematical Society and Duke Mathematical Journal.

In The Last Decade

Ilkka Holopainen

32 papers receiving 507 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Ilkka Holopainen Finland 16 541 346 182 147 24 35 589
L. Simon United States 6 478 0.9× 327 0.9× 87 0.5× 68 0.5× 70 2.9× 7 505
Anders Björn Sweden 15 830 1.5× 351 1.0× 284 1.6× 204 1.4× 42 1.8× 66 880
Alexander Nabutovsky Canada 9 125 0.2× 174 0.5× 94 0.5× 112 0.8× 14 0.6× 34 238
Stephen Keith Australia 8 366 0.7× 186 0.5× 71 0.4× 106 0.7× 35 1.5× 10 393
Alexander Lytchak Germany 14 277 0.5× 316 0.9× 54 0.3× 159 1.1× 84 3.5× 42 427
Jana Björn Sweden 15 896 1.7× 374 1.1× 298 1.6× 222 1.5× 51 2.1× 60 941
Guy C. David United States 8 252 0.5× 91 0.3× 87 0.5× 135 0.9× 8 0.3× 19 298
Bruno Colbois Switzerland 13 282 0.5× 205 0.6× 127 0.7× 186 1.3× 19 0.8× 49 410
Yu. D. Burago Russia 5 284 0.5× 230 0.7× 49 0.3× 66 0.4× 74 3.1× 14 339
Chao Xia China 12 453 0.8× 166 0.5× 150 0.8× 113 0.8× 105 4.4× 48 468

Countries citing papers authored by Ilkka Holopainen

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

20 of 20 papers shown
1.
Casteras, Jean‐Baptiste, et al.. (2023). Translating Solitons Over Cartan–Hadamard Manifolds. Journal of Geometric Analysis. 33(5).
2.
Casteras, Jean‐Baptiste, et al.. (2019). Existence and non-existence of minimal graphic and p-harmonic functions. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 150(1). 341–366. 2 indexed citations
3.
Holopainen, Ilkka, et al.. (2010). Global Comparison Principles for the p-Laplace Operator on Riemannian Manifolds. Potential Analysis. 34(4). 371–384. 7 indexed citations
4.
Holopainen, Ilkka, et al.. (2007). Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces. Mathematische Annalen. 339(1). 101–134. 8 indexed citations
5.
Holopainen, Ilkka, et al.. (2004). Mappings of finite distortion: Global homeomorphism theorem. Annales Academiae Scientiarum Fennicae Mathematica. 29(1). 59–80. 15 indexed citations
6.
Holopainen, Ilkka, et al.. (2004). A big Picard theorem for quasiregular mappings into manifolds with many ends. Proceedings of the American Mathematical Society. 133(4). 1143–1150. 5 indexed citations
7.
Holopainen, Ilkka & Nageswari Shanmugalingam. (2002). Singular functions on metric measure spaces.. Collectanea mathematica. 53(3). 313–332. 16 indexed citations
8.
Balogh, Zoltán M., Ilkka Holopainen, & Jeremy T. Tyson. (2002). Singular solutions, homogeneous norms, and quasiconformal mappings in Carnot groups. Mathematische Annalen. 324(1). 159–186. 24 indexed citations
9.
Holopainen, Ilkka. (2002). Asymptotic Dirichlet problem for the 𝑝-Laplacian on Cartan-Hadamard manifolds. Proceedings of the American Mathematical Society. 130(11). 3393–3400. 15 indexed citations
10.
Holopainen, Ilkka & Pekka Koskela. (2001). Volume growth and parabolicity. Proceedings of the American Mathematical Society. 129(11). 3425–3435. 16 indexed citations
11.
Holopainen, Ilkka & Paolo M. Soardi. (1997). A strong Liouville theorem for $p$-harmonic functions on graphs. Annales Academiae Scientiarum Fennicae Mathematica. 22(1). 205–226. 37 indexed citations
12.
Heinonen, Juha & Ilkka Holopainen. (1997). Quasiregular maps on Carnot groups. Journal of Geometric Analysis. 7(1). 109–148. 58 indexed citations
13.
Holopainen, Ilkka & Paolo M. Soardi. (1997). p-harmonic functions on graphs and manifolds. manuscripta mathematica. 94(1). 95–110. 55 indexed citations
14.
Holopainen, Ilkka & Seppo Rickman. (1996). Failure of the Denjoy theorem for quasiregular maps in dimension $n \ge 3$. Proceedings of the American Mathematical Society. 124(6). 1783–1788. 2 indexed citations
15.
Holopainen, Ilkka. (1994). Solutions of elliptic equations on manifolds with roughly Euclidean ends. Mathematische Zeitschrift. 217(1). 459–477. 15 indexed citations
16.
Holopainen, Ilkka. (1994). Rough isometries and $p$-harmonic functions with finite Dirichlet integral. Revista Matemática Iberoamericana. 10(1). 143–176. 29 indexed citations
17.
Holopainen, Ilkka & Seppo Rickman. (1993). Classification of Riemannian manifolds in nonlinear potential theory. Potential Analysis. 2(1). 37–66. 12 indexed citations
18.
Holopainen, Ilkka & Seppo Rickman. (1992). Quasiregular mappings of the Heisenberg group. Mathematische Annalen. 294(1). 625–643. 18 indexed citations
19.
Holopainen, Ilkka. (1992). Positive Solutions of Quasilinear Elliptic Equations on Riemannian Manifolds. Proceedings of the London Mathematical Society. s3-65(3). 651–672. 29 indexed citations
20.
Holopainen, Ilkka & Seppo Rickman. (1992). A Picard type theorem for quasiregular mappings of $\mathbb R^n$ into $n$-manifolds with many ends. Revista Matemática Iberoamericana. 8(2). 131–148. 10 indexed citations

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.

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