Thomas Runst

1.4k citations
25 papers · 973 · 1 hit paper · h-index 7

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 16
    • Advanced Harmonic Analysis Research 8
    • Nonlinear Partial Differential Equations 8
    • Nonlinear Differential Equations Analysis 6
    • Advanced Mathematical Physics Problems 6
    • advanced mathematical theories 2

Thomas Runst

24 papers receiving 889 citations

Thomas Runst's Hit Papers

Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations 1996 · 779 citations
7790+10+20Years since publication250500750

Peers

Thomas Runst
Comparison fields: 5 of 45
  • Applied Mathematics 785
  • Mathematical Physics 558
  • Computational Theory and Mathematics 271
  • Numerical Analysis 60
  • Modeling and Simulation 30
Replace Peer Christian Kunstmann with:
Peer Christian Kunstmann Germany
Giorgio Metafune Italy
Ugo Gianazza Italy
Sergio Polidoro Italy
Markus Haase Germany
Ferruccio Colombini Italy
S. N. Kruzhkov Russia
Petri Juutinen Finland
Anthony Carbery United Kingdom
Silvia Romanelli Italy
Thomas Runst relative to Peer Christian Kunstmann Germany Peer Christian Kunstmann's profile →
Citations per field
00.5×1.5×1.8×
Peer Christian Kunstmann · 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 25 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 →
1996779
2 198643
3 198532
4 199531
5 198511
6 20049
7 19879
8 20117
9 19806
10 19905
11 20125
12
Positive solutions for indefinite inhomogeneous Neumann elliptic problems
20034
13 19884
14 19914
15 19914
16 19993
17 19993
18 19873
19 20053
20 20102

About Thomas Runst

Thomas Runst is a scholar working on Applied Mathematics, Mathematical Physics, Numerical Analysis, Computational Theory and Mathematics and Control and Systems Engineering, having authored 25 papers that have together received 973 indexed citations. Recurring topics across this work include Differential Equations and Boundary Problems (16 papers), Advanced Mathematical Modeling in Engineering (9 papers), Advanced Harmonic Analysis Research (8 papers), Nonlinear Partial Differential Equations (8 papers), Differential Equations and Numerical Methods (7 papers), Advanced Mathematical Physics Problems (6 papers), Nonlinear Differential Equations Analysis (6 papers) and advanced mathematical theories (2 papers). The work is most often cited by research in Applied Mathematics (785 citations), Mathematical Physics (558 citations), Computational Theory and Mathematics (271 citations), Numerical Analysis (60 citations) and Modeling and Simulation (30 citations). Thomas Runst has collaborated with scholars based in Germany, Russia and France. Frequent co-authors include Winfried Sickel, Jens Frankē, Yavdat Shavkatovich Il'yasov, Pavel Drábek, Lassi Païvärinta, Hans‐Jürgen Schmeißer, Dorothee Diethild Haroske and Hans Triebel. Their work appears in journals such as Mathematische Nachrichten, Zeitschrift für Analysis und ihre Anwendungen, Calculus of Variations and Partial Differential Equations, Annals of Global Analysis and Geometry and Hiroshima 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.

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