W. Rother

733 total citations · 1 hit paper
21 papers, 531 citations indexed

About

W. Rother is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, W. Rother has authored 21 papers receiving a total of 531 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Applied Mathematics, 8 papers in Computational Theory and Mathematics and 4 papers in Mathematical Physics. Recurrent topics in W. Rother's work include Nonlinear Partial Differential Equations (9 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Nonlinear Differential Equations Analysis (5 papers). W. Rother is often cited by papers focused on Nonlinear Partial Differential Equations (9 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Nonlinear Differential Equations Analysis (5 papers). W. Rother collaborates with scholars based in Germany, Canada and France. W. Rother's co-authors include Pavel Drábek, Martina Zähle and V. Bergmann and has published in prestigious journals such as Annals of the New York Academy of Sciences, Transactions of the American Mathematical Society and Nonlinear Analysis.

In The Last Decade

W. Rother

17 papers receiving 484 citations

Hit Papers

align trajectories

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.

Nonlinear scalar field equations

1992 435 citations W. Rother Differential and Integral Equations profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
W. Rother Germany	7	390	338	239	113	65	21	531
Markus Poppenberg Germany	7	473 1.2×	474 1.4×	235 1.0×	74 0.7×	55 0.8×	20	582
Eugenio Montefusco Italy	13	404 1.0×	415 1.2×	253 1.1×	143 1.3×	71 1.1×	25	598
М. Л. Горбачук Ukraine	9	295 0.8×	432 1.3×	288 1.2×	47 0.4×	32 0.5×	35	536
В. И. Горбачук Ukraine	9	279 0.7×	414 1.2×	273 1.1×	45 0.4×	29 0.4×	24	515
Hugo Tavares Portugal	14	478 1.2×	368 1.1×	324 1.4×	90 0.8×	54 0.8×	31	601
Jiangang Qi China	12	216 0.6×	279 0.8×	156 0.7×	82 0.7×	44 0.7×	55	392
Rostyslav Hryniv Ukraine	13	229 0.6×	458 1.4×	259 1.1×	103 0.9×	53 0.8×	56	571
S. I. Pokhozhaev Russia	10	393 1.0×	248 0.7×	213 0.9×	87 0.8×	131 2.0×	51	532
Henk de Snoo Netherlands	17	447 1.1×	633 1.9×	530 2.2×	66 0.6×	47 0.7×	54	805
Simone Secchi Italy	15	686 1.8×	555 1.6×	340 1.4×	78 0.7×	47 0.7×	45	805

Countries citing papers authored by W. Rother

Since Specialization

Citations

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

Fields of papers citing papers by W. Rother

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of W. Rother

This figure shows the co-authorship network connecting the top 25 collaborators of W. Rother. A scholar is included among the top collaborators of W. Rother 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 W. Rother. W. Rother is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Rother, W., et al.. (1999). Application of the Dielectric Barrier Discharge Jet in Surface Treatment and Film Deposition^a. Annals of the New York Academy of Sciences. 891(1). 216–222. 2 indexed citations

2.

Drábek, Pavel & W. Rother. (1995). Nonlinear Eigenvalue Problem for p‐Laplacian in IR^N. Mathematische Nachrichten. 173(1). 131–139. 30 indexed citations

3.

Rother, W.. (1993). Generalized Emden-Fowler equations of subcritical growth. Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics. 54(2). 254–262. 3 indexed citations

4.

Rother, W.. (1993). A Nonlinear Dirichlet Problem on the Unit Ball. Mathematische Nachrichten. 160(1). 193–203.

5.

Rother, W., et al.. (1992). Absolute curvature measures, II. Geometriae Dedicata. 41(2). 7 indexed citations

6.

Rother, W.. (1992). Nonlinear scalar field equations. Differential and Integral Equations. 5(4). 435 indexed citations breakdown →

7.

Rother, W.. (1991). The existence of infinitely many solutions all bifurcating from λ = 0. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 118(3-4). 295–303. 1 indexed citations

8.

Rother, W. & Martina Zähle. (1990). A short proof of principal kinematic formula and extensions. Transactions of the American Mathematical Society. 321(2). 547–558. 9 indexed citations

9.

Rother, W.. (1990). Existence theorems for a nonlinear elliptic eigenvalue problem on N. Nonlinear Analysis. 15(4). 381–386.

10.

Rother, W. & Martina Zähle. (1990). Palm Distributions in Homogeneous Spaces. Mathematische Nachrichten. 149(1). 255–263. 6 indexed citations

11.

Rother, W.. (1990). On the Existence of Positive Solutions for Some Semilinear Elliptic Problems in Annular Domains. Results in Mathematics. 17(3-4). 272–281. 1 indexed citations

12.

Rother, W.. (1990). some existence results for the equation. Communications in Partial Differential Equations. 15(10). 1461–1473. 15 indexed citations

13.

Rother, W.. (1989). Bifurcation of Nonlinear Elliptic Equations on R ^N. Bulletin of the London Mathematical Society. 21(6). 567–572. 4 indexed citations

14.

Rother, W.. (1989). Bifurcation for a semilinear elliptic equation on ?N with radially symmetric coefficients. manuscripta mathematica. 65(4). 413–426. 6 indexed citations

15.

Rother, W.. (1988). New bounds for the first eigenvalue of an elliptic equation occurring in the buckling problem for the plate. Applicable Analysis. 31(1-2). 57–61. 2 indexed citations

16.

Rother, W.. (1987). The construction of a functionf satisfying ?f?L 1 and ? ij f?L 1. Archiv der Mathematik. 48(1). 88–91. 1 indexed citations

17.

Bergmann, V., et al.. (1985). The Mathematical Modelling of the Switching Arc. Beiträge aus der Plasmaphysik. 25(5). 513–521. 1 indexed citations

18.

Rother, W., et al.. (1985). Application of a Two-Pole Are Model for the Determination of Diffuse Vacuum Are Parameters. IEEE Transactions on Electrical Insulation. EI-20(4). 759–762. 1 indexed citations

19.

Rother, W., et al.. (1968). Konvektive Wärmeübertragung in einem laminaren Stickstoff‐Plasmastrahl I. Beiträge aus der Plasmaphysik. 8(3). 145–155. 3 indexed citations

20.

Rother, W.. (1968). Konvektive Wärmeübertragung in einem laminaren Stickstoff‐Plasmastrahl II. Beiträge aus der Plasmaphysik. 8(3). 157–165. 2 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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