David Gilbarg

25.6k total citations · 2 hit papers
20 papers, 14.5k citations indexed

About

David Gilbarg is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, David Gilbarg has authored 20 papers receiving a total of 14.5k indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Applied Mathematics, 7 papers in Computational Theory and Mathematics and 6 papers in Computational Mechanics. Recurrent topics in David Gilbarg's work include Advanced Mathematical Modeling in Engineering (7 papers), Differential Equations and Boundary Problems (6 papers) and Fluid Dynamics and Turbulent Flows (3 papers). David Gilbarg is often cited by papers focused on Advanced Mathematical Modeling in Engineering (7 papers), Differential Equations and Boundary Problems (6 papers) and Fluid Dynamics and Turbulent Flows (3 papers). David Gilbarg collaborates with scholars based in United States, Australia and Sweden. David Gilbarg's co-authors include Neil S. Trudinger, Robert Finn, James Serrin, Lars Hörmander, Hans F. Weinberger, Max Shiffman and ROBERT FINN and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and Archive for Rational Mechanics and Analysis.

In The Last Decade

David Gilbarg

20 papers receiving 12.8k citations

Hit Papers

Elliptic Partial Differential Equations of ... 1977 2026 1993 2009 2001 1977 2.5k 5.0k 7.5k 10.0k

Peers

David Gilbarg
Comparison fields: 5 of 124
  • Applied Mathematics 9.7k
  • Computational Theory and Mathematics 7.3k
  • Mathematical Physics 4.9k
  • Computational Mechanics 2.2k
  • Geometry and Topology 1.6k
Replace Louis Nirenberg with:
Louis Nirenberg United States
James Serrin United States
Neil S. Trudinger Australia
Lars Hörmander Sweden
Michael G. Crandall United States
Luis Caffarelli United States
Haı̈m Brezis France
Elias M. Stein United States
Hans F. Weinberger United States
Shmuel Agmon Israel
Louis Nirenberg United States View profile →
Citations per field, relative to David Gilbarg
David Gilbarg · 1×
Citations per year, relative to David Gilbarg
David Gilbarg · 1×

Countries citing papers authored by David Gilbarg

Since Specialization
Citations

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

Fields of papers citing papers by David Gilbarg

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of David Gilbarg

This figure shows the co-authorship network connecting the top 25 collaborators of David Gilbarg. A scholar is included among the top collaborators of David Gilbarg 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 David Gilbarg. David Gilbarg 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
Elliptic Partial Differential Equations of Second Order breakdown →
10072
2 134
3
Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral
80
4
Elliptic Partial Differential Equations of Second Order breakdown →
3481
5 33
6 3
7
Lectures on elliptic partial differential equations
2
8 9
9 2
10 69
11 93
12 14
13 132
14 46
15 23
16 126
17 32
18 17
19 6
20 132

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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