Thomas Runst

1.4k citations
22 papers · 855 · 1 hit paper · h-index 8

Impact in

    • Advanced Harmonic Analysis Research
    • Nonlinear Partial Differential Equations
    • Navier-Stokes equation solutions
    • Mathematical Analysis and Transform Methods
    • Differential Equations and Boundary Problems
    • Advanced Mathematical Physics Problems

Papers in

    • Differential Equations and Boundary Problems 15
    • Advanced Harmonic Analysis Research 8
    • Nonlinear Partial Differential Equations 6
    • Nonlinear Differential Equations Analysis 3
    • Advanced Mathematical Physics Problems 6
    • Spectral Theory in Mathematical Physics 2

Thomas Runst

21 papers receiving 768 citations

Thomas Runst's Hit Papers

Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations 1996 · 691 citations
6910+10+20Years since publication200400600

Peers

Thomas Runst
Comparison fields: 5 of 46
  • Applied Mathematics 685
  • Mathematical Physics 504
  • Computational Theory and Mathematics 234
  • Numerical Analysis 52
  • Control and Systems Engineering 127
Replace Markus Haase with:
Markus Haase Netherlands
Ugo Gianazza Italy
Philippe Clément Netherlands
Petri Juutinen Finland
Ralph Chill Germany
Hikosaburo Komatsu Japan
Evgeniy Pustylnik Israel
Ferruccio Colombini Italy
J. Barros-Neto United States
Luis Escauriaza Spain
Thomas Runst relative to Markus Haase Netherlands Markus Haase's profile →
Citations per field
00.5×1.5×
Markus Haase · 1×
Citations per year

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-authors

The 8 scholars most cited alongside Thomas Runst, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Thomas Runst Line = papers co-authored together Thomas Runst links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 22 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations
Hit paper breakdown →
1996691
2 198636
3 199528
4 198528
5 198510
6 19879
7 20117
8 20047
9 19805
10 19904
11
Positive solutions for indefinite inhomogeneous Neumann elliptic problems
20034
12 20124
13 19883
14 19913
15 19993
16 20053
17 19913
18 19992
19 20102
20 19872

About Thomas Runst

Thomas Runst is a scholar working on Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Numerical Analysis and Infectious Diseases, having authored 22 papers that have together received 855 indexed citations. Recurring topics across this work include Differential Equations and Boundary Problems (15 papers), Advanced Harmonic Analysis Research (8 papers), Differential Equations and Numerical Methods (7 papers), Advanced Mathematical Modeling in Engineering (7 papers), Nonlinear Partial Differential Equations (6 papers), Advanced Mathematical Physics Problems (6 papers), Nonlinear Differential Equations Analysis (3 papers) and Spectral Theory in Mathematical Physics (2 papers). The work is most often cited by research in Applied Mathematics (685 citations), Mathematical Physics (504 citations), Computational Theory and Mathematics (234 citations), Numerical Analysis (52 citations) and Control and Systems Engineering (127 citations). Thomas Runst has collaborated with scholars based in Germany, Russia and France. Frequent co-authors include Winfried Sickel, Jens Frankē, Yavdat Il’yasov, Pavel Drábek, Lassi Païvärinta, Hans‐Jürgen Schmeißer, Hans Triebel and Dorothee D. Haroske. Their work appears in journals such as Mathematische Nachrichten, Zeitschrift für Analysis und ihre Anwendungen, Journal of the London Mathematical Society, Proceedings of the Edinburgh Mathematical Society and Indiana University Mathematics 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.

Explore authors with similar magnitude of impact