David Gilbarg

25.9k citations
42 papers · 15.4k · 2 hit papers · h-index 16

Impact in

    • Nonlinear Partial Differential Equations
    • Geometric Analysis and Curvature Flows
    • Differential Equations and Boundary Problems
    • Navier-Stokes equation solutions
    • Numerical methods in inverse problems
    • Advanced Mathematical Physics Problems

Papers in

David Gilbarg

35 papers receiving 13.7k citations

David Gilbarg's Hit Papers

Elliptic Partial Differential Equations of Second Order 2001 · 10.6k citations
10.6k0+16+32Years since publication2.5k5.0k7.5k10.0k

Peers

David Gilbarg
Comparison fields: 5 of 128
  • Applied Mathematics 10.2k
  • Mathematical Physics 5.2k
  • Computational Theory and Mathematics 7.6k
  • Numerical Analysis 1.5k
  • Geometry and Topology 1.7k
Replace Louis Nirenberg with:
Louis Nirenberg United States
Neil S. Trudinger Australia
Luis Caffarelli United States
James Serrin United States
Haïm Brézis France
Michael G. Crandall United States
Elias M. Stein United States
Paul H. Rabinowitz United States
Lars Hörmander Sweden
Hans F. Weinberger United States
David Gilbarg relative to Louis Nirenberg United States Louis Nirenberg's profile →
Citations per field
00.5×1.5×
Louis Nirenberg · 1×
Citations per year

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-authors

The 7 scholars most cited alongside David Gilbarg, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with David Gilbarg Line = papers co-authored together David Gilbarg links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 42 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Elliptic Partial Differential Equations of Second Order
Hit paper breakdown →
200110573
2
Elliptic Partial Differential Equations of Second Order
Hit paper breakdown →
19773687
3 1951154
4 1953146
5 1980145
6 1954139
7 1957102
8
Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral
197885
9 196084
10 195774
11 195448
12 197445
13 195233
14 195324
15 195219
16 195516
17 195811
18 200110
19 19527
20 19777

About David Gilbarg

David Gilbarg is a scholar working on Computational Theory and Mathematics, Applied Mathematics, Computational Mechanics, Numerical Analysis and Mathematical Physics, having authored 42 papers that have together received 15.4k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (18 papers), Differential Equations and Boundary Problems (7 papers), Advanced Numerical Methods in Computational Mathematics (6 papers), Fluid Dynamics and Turbulent Flows (4 papers), Differential Equations and Numerical Methods (4 papers), Gas Dynamics and Kinetic Theory (3 papers), Numerical methods in inverse problems (3 papers) and Nonlinear Partial Differential Equations (3 papers). The work is most often cited by research in Applied Mathematics (10.2k citations), Mathematical Physics (5.2k citations), Computational Theory and Mathematics (7.6k citations), Numerical Analysis (1.5k citations) and Geometry and Topology (1.7k citations). David Gilbarg has collaborated with scholars based in United States, Australia and Sweden. Frequent co-authors include Neil S. Trudinger, Robert Finn, James Serrin, Lars Hörmander, Hans F. Weinberger, Max Shiffman and ROBERT FINN. Their work appears in journals such as Indiana University Mathematics Journal, Transactions of the American Mathematical Society, Russian Mathematical Surveys, Journal d Analyse Mathématique and Acta Mathematica.

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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