Thomas Runst

1.4k total citations · 1 hit paper
22 papers, 855 citations indexed

About

Thomas Runst is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Thomas Runst has authored 22 papers receiving a total of 855 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Applied Mathematics, 12 papers in Mathematical Physics and 8 papers in Computational Theory and Mathematics. Recurrent topics in Thomas Runst's work include Differential Equations and Boundary Problems (15 papers), Advanced Harmonic Analysis Research (8 papers) and Differential Equations and Numerical Methods (7 papers). Thomas Runst is often cited by papers focused on Differential Equations and Boundary Problems (15 papers), Advanced Harmonic Analysis Research (8 papers) and Differential Equations and Numerical Methods (7 papers). Thomas Runst collaborates with scholars based in Germany, Russia and France. Thomas Runst's co-authors include Winfried Sickel, Jens Frankē, Yavdat Il’yasov, Lassi Païvärinta, Pavel Drábek, Hans Triebel, Hans‐Jürgen Schmeißer and Dorothee D. Haroske and has published in prestigious journals such as SHILAP Revista de lepidopterología, Bulletin of the London Mathematical Society and Indiana University Mathematics Journal.

In The Last Decade

Thomas Runst

21 papers receiving 768 citations

Hit Papers

Sobolev Spaces of Fractional Order, Nemytskij Operators, ... 1996 2026 2006 2016 1996 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations
    1996 691 citations Thomas Runst, Winfried Sickel profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Thomas Runst Germany 8 685 504 234 127 76 22 855
Markus Haase Netherlands 12 486 0.7× 394 0.8× 209 0.9× 131 1.0× 25 0.3× 31 720
Ugo Gianazza Italy 14 666 1.0× 368 0.7× 561 2.4× 63 0.5× 56 0.7× 55 816
Philippe Clément Netherlands 17 812 1.2× 311 0.6× 610 2.6× 140 1.1× 48 0.6× 46 1.0k
Evgeniy Pustylnik Israel 11 743 1.1× 488 1.0× 302 1.3× 166 1.3× 61 0.8× 36 1.1k
Ferruccio Colombini Italy 18 718 1.0× 816 1.6× 278 1.2× 397 3.1× 68 0.9× 90 1.1k
Ralph Chill Germany 18 487 0.7× 315 0.6× 540 2.3× 392 3.1× 65 0.9× 52 879
Petri Juutinen Finland 16 800 1.2× 257 0.5× 610 2.6× 72 0.6× 38 0.5× 30 918
Sergey Piskarev Russia 16 564 0.8× 384 0.8× 307 1.3× 172 1.4× 78 1.0× 69 853
Sergio Spagnolo Italy 14 465 0.7× 500 1.0× 360 1.5× 292 2.3× 120 1.6× 37 835
J. Barros-Neto United States 7 259 0.4× 180 0.4× 175 0.7× 62 0.5× 81 1.1× 23 485

Countries citing papers authored by Thomas Runst

Since Specialization
Citations

This map shows the geographic impact of Thomas Runst'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 Thomas Runst with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Thomas Runst more than expected).

Fields of papers citing papers by Thomas Runst

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Thomas Runst. 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 Thomas Runst. The network helps show where Thomas Runst may publish in the future.

Co-authorship network of co-authors of Thomas Runst

This figure shows the co-authorship network connecting the top 25 collaborators of Thomas Runst. A scholar is included among the top collaborators of Thomas Runst 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 Thomas Runst. Thomas Runst 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.
Haroske, Dorothee D., Thomas Runst, Hans‐Jürgen Schmeißer, & Hans Triebel. (2012). "Function Spaces, Differential Operators and Nonlinear Analysis": The Hans Triebel Anniversary Volume. CERN Document Server (European Organization for Nuclear Research). 4 indexed citations
2.
Il’yasov, Yavdat & Thomas Runst. (2011). Positive solutions of indefinite equations withp-Laplacian and supercritical nonlinearity. Complex Variables and Elliptic Equations. 56(10-11). 945–954. 7 indexed citations
3.
Il’yasov, Yavdat & Thomas Runst. (2010). An anti-maximum principle for degenerate elliptic boundary value problems with indefinite weights. Complex Variables and Elliptic Equations. 55(8-10). 897–910. 2 indexed citations
4.
Runst, Thomas, et al.. (2005). Boundary value problems for Waldenfels operators. Indiana University Mathematics Journal. 54(1). 237–256. 3 indexed citations
5.
Il’yasov, Yavdat & Thomas Runst. (2004). On nonlocal calculation for inhomogeneous indefinite Neumann boundary value problems. Calculus of Variations and Partial Differential Equations. 22(1). 101–127. 7 indexed citations
6.
Il’yasov, Yavdat & Thomas Runst. (2003). Positive solutions for indefinite inhomogeneous Neumann elliptic problems. SHILAP Revista de lepidopterología. 2003. 4 indexed citations
7.
Runst, Thomas. (1999). On the existence of solutions of nonlinear boundary value problems at resonance in Sobolev spaces of fractional order. Hiroshima Mathematical Journal. 29(2). 3 indexed citations
8.
Runst, Thomas. (1999). A Unified Approach to Solvability Conditions for Nonlinear Second-Order Elliptic Equations at Resonance. Bulletin of the London Mathematical Society. 31(4). 385–414. 2 indexed citations
9.
Il’yasov, Yavdat & Thomas Runst. (1999). On equations of the type $Au = g(x,u,Du)$ with degenerate and nonlinear boundary conditions. Tsukuba Journal of Mathematics. 23(3). 1 indexed citations
10.
Runst, Thomas. (1996). Singularities in Quasi‐Banach Spaces with Applications to Semilinear Elliptic Equations I. Mathematische Nachrichten. 180(1). 317–342.
11.
Runst, Thomas & Winfried Sickel. (1996). Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations. 691 indexed citations breakdown →
12.
Frankē, Jens & Thomas Runst. (1995). Regular Elliptic Boundary Value Problems in Besov‐Triebel‐Lizorkin Spaces. Mathematische Nachrichten. 174(1). 113–149. 28 indexed citations
13.
Runst, Thomas, et al.. (1991). On a Superlinear Ambrosetti-Prodi Problem in Besov and Triebel-Lizorkin Spaces. Journal of the London Mathematical Society. s2-43(2). 324–336. 3 indexed citations
14.
Drábek, Pavel & Thomas Runst. (1990). On the Existence of Solutions of a Semilinear Elliptic Boundary Value Problem with Superlinear Nonlinearities. Zeitschrift für Analysis und ihre Anwendungen. 9(2). 105–112. 4 indexed citations
15.
Frankē, Jens & Thomas Runst. (1988). Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type $B^s_{p,q}$ and $F^s_{p,q}$. Czechoslovak Mathematical Journal. 38(4). 623–641. 3 indexed citations
16.
Frankē, Jens & Thomas Runst. (1987). On the admissibility of function spaces of typeB p,q s andF p,q s , and boundary value problems for non-linear partial differential equations. Analysis Mathematica. 13(1). 3–27. 2 indexed citations
17.
Runst, Thomas, et al.. (1987). The Discrete Jacobi Transform of Generalized Functions. Mathematische Nachrichten. 132(1). 239–251. 9 indexed citations
18.
Runst, Thomas. (1986). Mapping properties of non-linear operators in spaces of Triebel-Lizorkin and Besov type. Analysis Mathematica. 12(4). 313–346. 36 indexed citations
19.
Runst, Thomas. (1985). Pseudo-differential operators of the ?exotic? class L 1,1 O in spaces of besov and Triebel-Lizorkin type. Annals of Global Analysis and Geometry. 3(1). 13–28. 28 indexed citations
20.
Runst, Thomas & Winfried Sickel. (1980). On Strong Summability of Jacobi-Fourier-Expansions and Smoothness Properties of Functions. Mathematische Nachrichten. 99(1). 77–85. 5 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Markus Haase Breakdown of academic impact, for papers by Ugo Gianazza Breakdown of academic impact, for papers by Philippe Clément Breakdown of academic impact, for papers by Evgeniy Pustylnik Breakdown of academic impact, for papers by Ferruccio Colombini Breakdown of academic impact, for papers by Ralph Chill Breakdown of academic impact, for papers by Petri Juutinen Breakdown of academic impact, for papers by Sergey Piskarev Breakdown of academic impact, for papers by Sergio Spagnolo Breakdown of academic impact, for papers by J. Barros-Neto
Rankless by CCL
2026