E. H. Rothe

3.7k total citations · 2 hit papers
22 papers, 2.2k citations indexed

About

E. H. Rothe is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, E. H. Rothe has authored 22 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Applied Mathematics, 8 papers in Computational Theory and Mathematics and 7 papers in Mathematical Physics. Recurrent topics in E. H. Rothe's work include Advanced Mathematical Modeling in Engineering (5 papers), Advanced Differential Equations and Dynamical Systems (4 papers) and Geometric Analysis and Curvature Flows (4 papers). E. H. Rothe is often cited by papers focused on Advanced Mathematical Modeling in Engineering (5 papers), Advanced Differential Equations and Dynamical Systems (4 papers) and Geometric Analysis and Curvature Flows (4 papers). E. H. Rothe collaborates with scholars based in United States. E. H. Rothe's co-authors include M. A. Krasnosel’skii, J. Burlak, A. H. Armstrong, G.P. AKILOV, M. M. Vaĭnberg, Amiel Feinstein, Hans F. Weinberger and Lamberto Cesari and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

E. H. Rothe

21 papers receiving 1.7k citations

Hit Papers

Topological Methods in the Theory of Nonlinear Integral E... 1966 2026 1986 2006 1968 1966 400 800 1.2k
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. Topological Methods in the Theory of Nonlinear Integral Equations.
    1968 1.4k citations E. H. Rothe, M. A. Krasnosel’skii et al. American Mathematical Monthly profile →
  2. Variational Methods for the Study of Nonlinear Operators
    1966 560 citations E. H. Rothe, M. M. Vaĭnberg et al. American Mathematical Monthly profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
E. H. Rothe United States 10 1.2k 941 542 525 319 22 2.2k
A. H. Armstrong United Kingdom 4 837 0.7× 588 0.6× 357 0.7× 361 0.7× 222 0.7× 6 1.4k
J. Burlak United Kingdom 5 854 0.7× 594 0.6× 357 0.7× 378 0.7× 229 0.7× 6 1.4k
J. B. Díaz United States 17 1.0k 0.9× 358 0.4× 337 0.6× 352 0.7× 421 1.3× 65 1.9k
G.P. AKILOV United States 5 468 0.4× 640 0.7× 640 1.2× 382 0.7× 109 0.3× 7 1.8k
P. Rabinowitz Israel 13 2.9k 2.5× 1.8k 1.9× 734 1.4× 949 1.8× 272 0.9× 30 3.5k
П. П. Забрейко Belarus 11 898 0.8× 527 0.6× 518 1.0× 495 0.9× 296 0.9× 63 1.7k
F. V. Atkinson Canada 22 1.3k 1.1× 1.0k 1.1× 541 1.0× 1.1k 2.0× 151 0.5× 59 2.2k
Seymour Goldberg United States 17 1.1k 0.9× 807 0.9× 273 0.5× 1.1k 2.1× 169 0.5× 43 2.3k
Avron Douglis United States 10 2.4k 2.1× 2.0k 2.1× 549 1.0× 1.3k 2.5× 229 0.7× 18 4.0k
Catherine Bandle Switzerland 26 2.4k 2.0× 1.8k 2.0× 503 0.9× 967 1.8× 235 0.7× 115 2.9k

Countries citing papers authored by E. H. Rothe

Since Specialization
Citations

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

Fields of papers citing papers by E. H. Rothe

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by E. H. Rothe. 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 E. H. Rothe. The network helps show where E. H. Rothe may publish in the future.

Co-authorship network of co-authors of E. H. Rothe

This figure shows the co-authorship network connecting the top 25 collaborators of E. H. Rothe. A scholar is included among the top collaborators of E. H. Rothe 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 E. H. Rothe. E. H. Rothe 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.
Rothe, E. H.. (1986). Introduction to Various Aspects of Degree Theory in Banach Spaces. Mathematical surveys and monographs. 38 indexed citations
2.
Rothe, E. H.. (1982). On the connection between critical point theory and Leray-Schauder degree. Journal of Mathematical Analysis and Applications. 88(1). 265–269. 3 indexed citations
3.
Rothe, E. H., et al.. (1978). Nonlinear analysis : a collection of papers in honor of Erich H. Rothe. Academic Press eBooks. 81 indexed citations
4.
Rothe, E. H.. (1975). On the theories of Morse and Lusternik-Schnirelman for open bounded sets on Fredholm Hilbert manifolds. Journal of Mathematical Analysis and Applications. 50(1). 80–107. 5 indexed citations
5.
Rothe, E. H.. (1975). A generalization of the Seifert-Threlfall proof for the Lusternik-Schnirelman category inequality. Journal of Mathematical Analysis and Applications. 50(2). 243–267. 1 indexed citations
6.
Rothe, E. H.. (1973). Morse theory in Hilbert space. Rocky Mountain Journal of Mathematics. 3(2). 13 indexed citations
7.
Rothe, E. H.. (1971). Critical point theory in Hilbert space under regular boundary conditions. Journal of Mathematical Analysis and Applications. 36(2). 377–431. 16 indexed citations
8.
Rothe, E. H., M. A. Krasnosel’skii, A. H. Armstrong, & J. Burlak. (1968). Topological Methods in the Theory of Nonlinear Integral Equations.. American Mathematical Monthly. 75(3). 318–318. 1366 indexed citations breakdown →
9.
Rothe, E. H.. (1967). Some remarks on critical point theory in Hilbert space (continuation). Journal of Mathematical Analysis and Applications. 20(3). 515–520. 2 indexed citations
10.
Rothe, E. H.. (1966). An existence theorem in the calculus of variations based on Sobolev's imbedding theorems. Archive for Rational Mechanics and Analysis. 21(2). 151–162. 11 indexed citations
11.
Rothe, E. H., et al.. (1966). Variational Methods for the Study of Nonlinear Operators. American Mathematical Monthly. 73(10). 1134–1134. 560 indexed citations breakdown →
12.
Rothe, E. H.. (1965). Critical point theory in Hilbert space under general boundary conditions. Journal of Mathematical Analysis and Applications. 11. 357–409. 9 indexed citations
13.
Rothe, E. H.. (1959). A note on gradient mappings. Proceedings of the American Mathematical Society. 10(6). 931–935. 1 indexed citations
14.
Rothe, E. H.. (1956). Remarks on the application of gradient mappings to the calculus of variations and the connected boundary value problems in partial differential equations. Communications on Pure and Applied Mathematics. 9(3). 551–568. 2 indexed citations
15.
Rothe, E. H.. (1955). Mapping degree in Banach spaces and spectral theory. Mathematische Zeitschrift. 63(1). 195–218. 5 indexed citations
16.
Rothe, E. H.. (1953). Gradient mappings. Bulletin of the American Mathematical Society. 59(1). 5–19. 9 indexed citations
17.
Rothe, E. H.. (1953). A note on the Banach spaces of Calkin and Morrey. Pacific Journal of Mathematics. 3(2). 493–499. 21 indexed citations
18.
Rothe, E. H.. (1952). Leray-Schauder Index and Morse Type Numbers in Hilbert Space. Annals of Mathematics. 55(3). 433–433. 11 indexed citations
19.
Rothe, E. H.. (1952). A Remark on Isolated Critical Points. American Journal of Mathematics. 74(1). 253–253. 4 indexed citations
20.
Rothe, E. H.. (1951). Critical points and gradient fields of scalars in Hilbert space. Acta Mathematica. 85(0). 73–98. 12 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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