Klaus Deimling

7.7k total citations · 2 hit papers
39 papers, 5.7k citations indexed

About

Klaus Deimling is a scholar working on Applied Mathematics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, Klaus Deimling has authored 39 papers receiving a total of 5.7k indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Applied Mathematics, 13 papers in Numerical Analysis and 10 papers in Geometry and Topology. Recurrent topics in Klaus Deimling's work include Nonlinear Differential Equations Analysis (18 papers), Numerical methods for differential equations (8 papers) and Differential Equations and Numerical Methods (8 papers). Klaus Deimling is often cited by papers focused on Nonlinear Differential Equations Analysis (18 papers), Numerical methods for differential equations (8 papers) and Differential Equations and Numerical Methods (8 papers). Klaus Deimling collaborates with scholars based in Germany, United States and China. Klaus Deimling's co-authors include V. Lakshmikantham, M. Rama Mohana Rao, Wen Shen, G.S. Ladde, Georg Hetzer and A.R. Aftabizadeh and has published in prestigious journals such as Lecture notes in mathematics, Nonlinear Analysis and Bulletin of the American Mathematical Society.

In The Last Decade

Klaus Deimling

37 papers receiving 5.0k citations

Hit Papers

Nonlinear Functional Analysis 1985 2026 1998 2012 1985 1992 1000 2.0k 3.0k
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. Nonlinear Functional Analysis
    1985 3.7k citations Klaus Deimling profile →
  2. Multivalued Differential Equations
    1992 1.2k citations Klaus Deimling profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Klaus Deimling Germany 13 3.8k 1.9k 1.6k 1.5k 1.4k 39 5.7k
M. A. Krasnosel’skii Russia 16 4.0k 1.0× 2.4k 1.3× 1.8k 1.1× 903 0.6× 708 0.5× 57 7.5k
A. C. Lazer United States 35 2.9k 0.7× 1.8k 1.0× 1.2k 0.7× 573 0.4× 364 0.3× 92 4.2k
Jean Mawhin Belgium 39 6.6k 1.7× 2.9k 1.5× 3.1k 1.9× 1.6k 1.0× 674 0.5× 239 8.4k
Roger D. Nussbaum United States 36 1.8k 0.5× 1.5k 0.8× 974 0.6× 1.1k 0.7× 236 0.2× 116 4.8k
Viorel Barbu Romania 36 2.6k 0.7× 4.0k 2.1× 973 0.6× 370 0.2× 599 0.4× 237 6.7k
Leo F. Boron 11 2.5k 0.6× 1.2k 0.6× 775 0.5× 577 0.4× 351 0.3× 20 3.8k
Wolfgang Walter Germany 27 1.6k 0.4× 1.2k 0.7× 799 0.5× 280 0.2× 270 0.2× 118 3.4k
O. A. Ladyzhenskai︠a︡ Russia 10 4.0k 1.0× 3.7k 2.0× 999 0.6× 247 0.2× 438 0.3× 19 6.5k
Guy Barles France 39 2.5k 0.7× 2.1k 1.1× 570 0.3× 234 0.2× 863 0.6× 112 5.5k
Lawrence C. Evans United States 27 3.0k 0.8× 2.4k 1.3× 437 0.3× 541 0.4× 300 0.2× 55 4.9k

Countries citing papers authored by Klaus Deimling

Since Specialization
Citations

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

Fields of papers citing papers by Klaus Deimling

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Klaus Deimling

This figure shows the co-authorship network connecting the top 25 collaborators of Klaus Deimling. A scholar is included among the top collaborators of Klaus Deimling 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 Klaus Deimling. Klaus Deimling 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.
Deimling, Klaus, Georg Hetzer, & Wen Shen. (1996). Almost periodicity enforced by Coulomb friction. Advances in Differential Equations. 1(2). 10 indexed citations
2.
Deimling, Klaus. (1994). Resonance and Coulomb friction. Differential and Integral Equations. 7(3-4). 10 indexed citations
3.
Deimling, Klaus & V. Lakshmikantham. (1990). Multivalued differential inequalities. Nonlinear Analysis. 14(12). 1105–1110. 5 indexed citations
4.
Deimling, Klaus. (1989). Extremal Solutions of Multivalued Differential Equations II. Results in Mathematics. 15(3-4). 197–201. 7 indexed citations
5.
Deimling, Klaus, et al.. (1988). Fixed points of weakly inward maps in conical shells. Nonlinear Analysis. 12(3). 227–230. 8 indexed citations
6.
Deimling, Klaus. (1988). Extremal Solutions of Multivalued Differential Equations. Results in Mathematics. 14(1-2). 38–47. 8 indexed citations
7.
Deimling, Klaus. (1988). Positive fixed points of weakly inward maps. Nonlinear Analysis. 12(3). 223–226. 12 indexed citations
8.
Deimling, Klaus. (1987). Review: E. H. Rothe, Introduction to various aspects of degree theory in Banach spaces. Project Euclid (Cornell University). 17(2). 340–343. 3 indexed citations
9.
Deimling, Klaus. (1987). Book Review: Introduction to various aspects of degree theory in Banach spaces. Bulletin of the American Mathematical Society. 17(2). 340–344. 1 indexed citations
10.
Deimling, Klaus, et al.. (1986). Fixed points of weakly inward multivalued maps. Nonlinear Analysis. 10(5). 465–469. 8 indexed citations
11.
Deimling, Klaus. (1985). Sample solutions of stochastic ordinary differential equations∗. Stochastic Analysis and Applications. 3(1). 15–21. 4 indexed citations
12.
Deimling, Klaus & V. Lakshmikantham. (1980). Quasi-solutions and their role in the qualitative theory of differential equations. Nonlinear Analysis. 4(4). 657–663. 18 indexed citations
13.
Deimling, Klaus & V. Lakshmikantham. (1979). On existence of extremal solutions of differential equations in Banach spaces. Nonlinear Analysis. 3(5). 563–568. 12 indexed citations
14.
Deimling, Klaus. (1978). Periodic solutions of differential equations in Banach spaces. manuscripta mathematica. 24(1). 31–44. 14 indexed citations
15.
Deimling, Klaus. (1977). Ordinary Differential Equations in Banach Spaces. Lecture notes in mathematics. 349 indexed citations
16.
Deimling, Klaus. (1974). On approximate solutions of differential equations in Banach spaces. Mathematische Annalen. 212(1). 79–88. 1 indexed citations
17.
Deimling, Klaus. (1971). Eigenschaften der L�sungsmenge eines Systems von Volterra-Integralgleichungen. manuscripta mathematica. 4(3). 201–212. 3 indexed citations
18.
19.
Deimling, Klaus. (1971). Absolutely continuous solutions of Cauchy’s problem foru xy =f(x, y, u, u x ,u y ). Annali di Matematica Pura ed Applicata (1923 -). 89(1). 381–391. 5 indexed citations
20.
Deimling, Klaus. (1970). Fixed points of generalizedP-compact operators. Mathematische Zeitschrift. 115(3). 188–196. 7 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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