Friedrich Tomi

729 total citations
30 papers, 492 citations indexed

About

Friedrich Tomi is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Friedrich Tomi has authored 30 papers receiving a total of 492 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Applied Mathematics, 12 papers in Geometry and Topology and 10 papers in Computational Theory and Mathematics. Recurrent topics in Friedrich Tomi's work include Geometric Analysis and Curvature Flows (17 papers), Advanced Mathematical Modeling in Engineering (9 papers) and Point processes and geometric inequalities (7 papers). Friedrich Tomi is often cited by papers focused on Geometric Analysis and Curvature Flows (17 papers), Advanced Mathematical Modeling in Engineering (9 papers) and Point processes and geometric inequalities (7 papers). Friedrich Tomi collaborates with scholars based in Germany, United States and Brazil. Friedrich Tomi's co-authors include Rolf Rannacher, Markus Kirkilionis, Anthony J. Tromba, Erhard Heinz, N. M. Ivochkina, Nikolai Kutev, Jaime Ripoll, Luquésio P. Jorge, Robert Gulliver and Hans Wilhelm Alt and has published in prestigious journals such as Archive for Rational Mechanics and Analysis, Pacific Journal of Mathematics and Bulletin of the American Mathematical Society.

In The Last Decade

Friedrich Tomi

30 papers receiving 427 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Friedrich Tomi Germany 11 339 192 142 102 66 30 492
Fang-Hua Lin United States 13 494 1.5× 233 1.2× 145 1.0× 265 2.6× 101 1.5× 14 701
Nathaniel Chafee United States 8 163 0.5× 157 0.8× 54 0.4× 73 0.7× 38 0.6× 12 481
Qing Han United States 10 554 1.6× 279 1.5× 166 1.2× 272 2.7× 67 1.0× 40 729
Pedro Freitas Portugal 18 308 0.9× 493 2.6× 75 0.5× 448 4.4× 60 0.9× 75 906
Vladimir G. Maz’ja Russia 7 581 1.7× 320 1.7× 125 0.9× 316 3.1× 56 0.8× 10 768
Joachim von Below France 11 108 0.3× 258 1.3× 85 0.6× 253 2.5× 23 0.3× 29 467
Kyûya Masuda Japan 9 410 1.2× 157 0.8× 21 0.1× 360 3.5× 155 2.3× 20 656
Nicholas D. Alikakos United States 15 332 1.0× 415 2.2× 38 0.3× 141 1.4× 134 2.0× 21 855
Marco Biroli Italy 11 287 0.8× 189 1.0× 66 0.5× 178 1.7× 17 0.3× 58 440
В. А. Плисс Russia 7 166 0.5× 103 0.5× 115 0.8× 73 0.7× 19 0.3× 22 457

Countries citing papers authored by Friedrich Tomi

Since Specialization
Citations

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

Fields of papers citing papers by Friedrich Tomi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Friedrich Tomi

This figure shows the co-authorship network connecting the top 25 collaborators of Friedrich Tomi. A scholar is included among the top collaborators of Friedrich Tomi 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 Friedrich Tomi. Friedrich Tomi 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.
Ripoll, Jaime & Friedrich Tomi. (2012). On solutions to the exterior Dirichlet problem for the minimal surfaceequation with catenoidal ends. Advances in Calculus of Variations. 7(2). 205–226. 4 indexed citations
2.
Jorge, Luquésio P. & Friedrich Tomi. (2003). The Barrier Principle for Minimal Submanifolds of Arbitrary Codimension. Annals of Global Analysis and Geometry. 24(3). 261–267. 6 indexed citations
3.
Ivochkina, N. M. & Friedrich Tomi. (1998). Locally convex hypersurfaces of prescribed curvature and boundary. Calculus of Variations and Partial Differential Equations. 7(4). 293–314. 12 indexed citations
4.
Kutev, Nikolai & Friedrich Tomi. (1998). Existence and nonexistence for the exterior Dirichlet problem for the minimal surface equation in the plane. Differential and Integral Equations. 11(6). 6 indexed citations
5.
6.
Kutev, Nikolai & Friedrich Tomi. (1995). Nonexistence and instability in the exterior Dirichlet problem for the minimal surface equation in the plane. Pacific Journal of Mathematics. 170(2). 535–542. 3 indexed citations
7.
Tomi, Friedrich & Anthony J. Tromba. (1995). The index theorem for minimal surfaces of higher genus. Memoirs of the American Mathematical Society. 117(560). 0–0. 4 indexed citations
8.
Tomi, Friedrich. (1991). Plateau's problem for minimal surfaces with a catenoidal end. Project Euclid (Cornell University). 240–247. 1 indexed citations
9.
Tomi, Friedrich, et al.. (1990). The exterior plateau problem. Mathematische Zeitschrift. 205(1). 233–245. 10 indexed citations
10.
Tomi, Friedrich & Anthony J. Tromba. (1988). Existence theorems for minimal surfaces of nonzero genus spanning a contour. Memoirs of the American Mathematical Society. 71(382). 0–0. 13 indexed citations
11.
Tomi, Friedrich. (1986). A finiteness result in the free boundary value problem for minimal surfaces. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 3(4). 331–343. 3 indexed citations
12.
Alt, Hans Wilhelm & Friedrich Tomi. (1985). Regularity and finiteness of solutions to the free boundary problem for minimal surfaces. Mathematische Zeitschrift. 189(2). 227–237. 4 indexed citations
13.
Tomi, Friedrich, et al.. (1983). Ein Indexsatz f�r Fl�chen konstanter mittlerer Kr�mmung. Mathematische Zeitschrift. 182(2). 245–257. 8 indexed citations
14.
Tomi, Friedrich, et al.. (1973). Zur Struktur der L�sungsmenge des Plateauproblems. Mathematische Zeitschrift. 133(1). 1–29. 41 indexed citations
15.
Tomi, Friedrich. (1973). On the local uniqueness of the problem of least area. Archive for Rational Mechanics and Analysis. 52(4). 312–318. 24 indexed citations
16.
Tomi, Friedrich. (1973). Bemerkungen zum Regularit�tsproblem der Gleichung vorgeschriebener mittlerer Kr�mmung. Mathematische Zeitschrift. 132(4). 323–326. 6 indexed citations
17.
Tomi, Friedrich. (1972). Variationsprobleme vom Dirichlet-Typ mit einer Ungleichung als Nebenbedingung. Mathematische Zeitschrift. 128(1). 43–74. 15 indexed citations
18.
Tomi, Friedrich. (1970). Ein teilweise freies Randwertproblem f�r Fl�chen vorgeschriebener mittlerer Kr�mmung. Mathematische Zeitschrift. 115(2). 104–112. 5 indexed citations
19.
Tomi, Friedrich. (1969). Ein einfacher Beweis eines Regularit�tssatzes f�r schwache L�sungen gewisser elliptischer Systeme. Mathematische Zeitschrift. 112(3). 214–218. 49 indexed citations
20.
Tomi, Friedrich. (1969). �ber semilineare elliptische Differentialgleichungen zweiter Ordnung. Mathematische Zeitschrift. 111(5). 350–366. 27 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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