Neil S. Trudinger

33.3k total citations · 5 hit papers
125 papers, 19.6k citations indexed

About

Neil S. Trudinger is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Neil S. Trudinger has authored 125 papers receiving a total of 19.6k indexed citations (citations by other indexed papers that have themselves been cited), including 115 papers in Applied Mathematics, 47 papers in Computational Theory and Mathematics and 41 papers in Geometry and Topology. Recurrent topics in Neil S. Trudinger's work include Nonlinear Partial Differential Equations (76 papers), Geometric Analysis and Curvature Flows (64 papers) and Advanced Mathematical Modeling in Engineering (46 papers). Neil S. Trudinger is often cited by papers focused on Nonlinear Partial Differential Equations (76 papers), Geometric Analysis and Curvature Flows (64 papers) and Advanced Mathematical Modeling in Engineering (46 papers). Neil S. Trudinger collaborates with scholars based in Australia, China and United States. Neil S. Trudinger's co-authors include David Gilbarg, Xu‐Jia Wang, Thomas Donaldson, Gary M. Lieberman, Xi‐Nan Ma, John Urbas, E. Di Benedetto, Weimin Sheng, Jiakun Liu and Pierre‐Louis Lions and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Mathematics of Computation and Annals of Mathematics.

In The Last Decade

Neil S. Trudinger

123 papers receiving 17.2k citations

Hit Papers

Elliptic Partial Differential Equati... 1967 2026 1986 2006 2001 1977 1967 1967 1968 2.5k 5.0k 7.5k 10.0k

Peers

Neil S. Trudinger
Comparison fields: 5 of 132
  • Applied Mathematics 14.4k
  • Computational Theory and Mathematics 9.7k
  • Mathematical Physics 6.3k
  • Geometry and Topology 3.4k
  • Computational Mechanics 2.0k
Replace Luis Caffarelli with:
Luis Caffarelli United States
Louis Nirenberg United States
Haı̈m Brezis France
Elias M. Stein United States
Lars Hörmander Sweden
David Gilbarg United States
Paul H. Rabinowitz United States
Luigi Ambrosio Italy
Michael G. Crandall United States
James Serrin United States
Luis Caffarelli United States View profile →
Citations per field, relative to Neil S. Trudinger
Neil S. Trudinger · 1×
Citations per year, relative to Neil S. Trudinger
Neil S. Trudinger · 1×

Countries citing papers authored by Neil S. Trudinger

Since Specialization
Citations

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

Fields of papers citing papers by Neil S. Trudinger

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Neil S. Trudinger. 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 Neil S. Trudinger. The network helps show where Neil S. Trudinger may publish in the future.

Co-authorship network of co-authors of Neil S. Trudinger

This figure shows the co-authorship network connecting the top 25 collaborators of Neil S. Trudinger. A scholar is included among the top collaborators of Neil S. Trudinger 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 Neil S. Trudinger. Neil S. Trudinger 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
# Work Indexed citations
1 1
2 24
3 3
4
On generated prescribed Jacobian equations
2
5 1
6 12
7
The Chern Conjecture in Affine geometry
4
8
Bernstein-Jorgens Theorem for a Fourth Order Partial Differential Equation
15
9 48
10 8
11
On the Dirichlet problem for degenerate Monge-Amp\`ere equations
8
12 7
13
Maximum principles for curvature quotient equations
3
14 23
15
Miniconference on Partial Differential Equations (Canberra, July 9-10, 1981)
1
16
Elliptic Partial Differential Equations of Second Order breakdown →
3481
17
Linear elliptic operators with measurable coefficients
174
18 24
19
Remarks concerning the conformal deformation of riemannian structures on compact manifolds breakdown →
398
20 8

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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