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D-Index & Metrics

Discipline name D-Index World Ranking National Ranking Publications Citations
Mathematics 71 253 141 157 45499

Louis Nirenberg publications per year

The chart shows the history of publications by Louis Nirenberg between 1953 and 2024, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Louis Nirenberg published across 72 years, from 1953 to 2024, averaging 2.3 papers a year. Output peaked at 18 publications in 1993. 2 of the 165 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1953 to 2024. Vertical axis: number of publications, 0 to 18. Peak 18 publications in 1993. 1953: 5 publications 1954: 0 publications 1955: 2 publications 1956: 1 publication 1957: 3 publications 1958: 1 publication 1959: 3 publications 1960: 0 publications 1961: 1 publication 1962: 1 publication 1963: 1 publication 1964: 0 publications 1965: 3 publications 1966: 2 publications 1967: 3 publications 1968: 0 publications 1969: 0 publications 1970: 2 publications 1971: 2 publications 1972: 1 publication 1973: 5 publications 1974: 2 publications 1975: 1 publication 1976: 2 publications 1977: 2 publications 1978: 4 publications 1979: 3 publications 1980: 3 publications 1981: 2 publications 1982: 2 publications 1983: 2 publications 1984: 2 publications 1985: 5 publications 1986: 2 publications 1987: 1 publication 1988: 4 publications 1989: 1 publication 1990: 1 publication 1991: 4 publications 1992: 3 publications 1993: 18 publications 1994: 3 publications 1995: 4 publications 1996: 4 publications 1997: 3 publications 1998: 1 publication 1999: 2 publications 2000: 1 publication 2001: 6 publications 2002: 2 publications 2003: 2 publications 2004: 2 publications 2005: 6 publications 2006: 2 publications 2007: 4 publications 2008: 1 publication 2009: 4 publications 2010: 1 publication 2011: 4 publications 2012: 0 publications 2013: 2 publications 2014: 1 publication 2015: 3 publications 2016: 1 publication 2017: 1 publication 2018: 1 publication 2019: 0 publications 2020: 0 publications 2021: 0 publications 2022: 2 publications 2023: 1 publication 2024: 1 publication
1953 2024

165 publications in total across all disciplines

View publications per year as a table
Louis Nirenberg: publications per year, 1953 to 2024
Year Publications
1953 5
1954 0
1955 2
1956 1
1957 3
1958 1
1959 3
1960 0
1961 1
1962 1
1963 1
1964 0
1965 3
1966 2
1967 3
1968 0
1969 0
1970 2
1971 2
1972 1
1973 5
1974 2
1975 1
1976 2
1977 2
1978 4
1979 3
1980 3
1981 2
1982 2
1983 2
1984 2
1985 5
1986 2
1987 1
1988 4
1989 1
1990 1
1991 4
1992 3
1993 18
1994 3
1995 4
1996 4
1997 3
1998 1
1999 2
2000 1
2001 6
2002 2
2003 2
2004 2
2005 6
2006 2
2007 4
2008 1
2009 4
2010 1
2011 4
2012 0
2013 2
2014 1
2015 3
2016 1
2017 1
2018 1
2019 0
2020 0
2021 0
2022 2
2023 1
2024 1
Total 165
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Louis Nirenberg publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Louis Nirenberg sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 157–161 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 157 publications — 42nd percentile

42% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106 157
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Louis Nirenberg D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Louis Nirenberg sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 71 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 71 D-Index — 93rd percentile

93% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12 71
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
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Research.com Recognitions

  • 2015 - Abel Prize For striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.
  • 2014 - Steele Prize for Seminal Contribution to Research
  • 2013 - Fellow of the American Mathematical Society
  • 2011 - Fellow of the Royal Society of Canada Academy of Science
  • 1995 - US President's National Medal of Science "For his fundamental contributions to linear and nonlinear partial differential equations, and applications, particularly in geometry and complex analysis, thus having a decisive impact on the development of mathematics and its applications over a period of years.", Awarded by President Clinton at a White House ceremony on October 18, 1995.
  • 1994 - Steele Prize for Lifetime Achievement
  • 1975 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1969 - Member of the National Academy of Sciences
  • 1966 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1958 - Fellow of Alfred P. Sloan Foundation

Overview

Louis Nirenberg was affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research primarily contributed to the field of nonlinear partial differential equations and its applications, particularly in geometric analysis.

The scientist published several recent papers, all titled variations of "Issue Information - TOC" or "Issue Information - TOC," appearing in the journal Communications on Pure and Applied Mathematics between 2020 and 2022. These publications are as follows:

  • Issue Information - TOC, 2021, Communications on Pure and Applied Mathematics
  • Issue Information - TOC, 2022, Communications on Pure and Applied Mathematics
  • Issue Information - TOC, 2020, Communications on Pure and Applied Mathematics
  • Issue Information - TOC, 2020, Communications on Pure and Applied Mathematics
  • Issue Information - TOC, 2020, Communications on Pure and Applied Mathematics

Frequent coauthors included:

  • Kurt Friedrichs
  • Fritz John
  • J. J. Stoker
  • Paul Monsour
  • Neelang Parghi

Louis Nirenberg's work was regularly published in the venue Communications on Pure and Applied Mathematics, with 17 publications recorded in that journal.

Throughout their career, they received numerous awards and honors, including:

  • Abel Prize in 2015 for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.
  • Steele Prize for Seminal Contribution to Research in 2014.
  • Fellowship of the American Mathematical Society in 2013.
  • Fellowship of the Royal Society of Canada in 2011, in the Academy of Science.
  • The US President's National Medal of Science in 1995, awarded for fundamental contributions to linear and nonlinear partial differential equations and applications with impact on mathematics and its applications over many years.
  • Steele Prize for Lifetime Achievement in 1994.
  • Fellow of John Simon Guggenheim Memorial Foundation in 1975 and 1966.
  • Member of the National Academy of Sciences since 1969.
  • Fellow of Alfred P. Sloan Foundation in 1958.

Best Publications

  • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

    S. Agmon;A. Douglis;L. Nirenberg

  • Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

    Haïm Brezis;Louis Nirenberg

  • Symmetry and related properties via the maximum principle

    B. Gidas;Wei Ming Ni;L. Nirenberg

  • On functions of bounded mean oscillation

    F. John;L. Nirenberg

  • On elliptic partial differential equations

    L. Nirenberg

  • Partial regularity of suitable weak solutions of the navier‐stokes equations

    L. Caffarelli;R. Kohn;L. Nirenberg

  • Topics in Nonlinear Functional Analysis

    Louis Nirenberg

  • First order interpolation inequalities with weights

    L. Caffarelli;R. Kohn;L. Nirenberg

  • Complex Analytic Coordinates in Almost Complex Manifolds

    A. Newlander;L. Nirenberg

  • The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian

    L. Caffarelli;L. Nirenberg;J. Spruck

  • An algebra of pseudo‐differential operators

    J. J. Kohn;L. Nirenberg

  • Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations in Rn

    Yi Li;Wei—Ming Ni

  • On the method of moving planes and the sliding method

    H. Berestycki;L. Nirenberg

  • The principal eigenvalue and maximum principle for second-order elliptic operators in general domains

    H. Berestycki;L. Nirenberg;S. R. S. Varadhan

  • The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation

    L. Caffarelli;L. Nirenberg;J. Spruck

  • The Weyl and Minkowski problems in differential geometry in the large

    Louis Nirenberg

  • Non‐coercive boundary value problems

    J. J. Kohn;L. Nirenberg

  • Remarks on finding critical points

    Haim Brezis;Louis Nirenberg

  • Interior estimates for elliptic systems of partial differential equations

    Avron Douglis;Louis Nirenberg

  • Travelling fronts in cylinders

    Henri Berestycki;Henri Berestycki;Henri Berestycki;Louis Nirenberg;Louis Nirenberg;Louis Nirenberg

Frequent Co-Authors

YanYan Li
YanYan Li Rutgers, The State University of New Jersey
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Henri Berestycki
Henri Berestycki Centre d'Analyse et de Mathématique Sociales
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Joel Spruck
Joel Spruck Johns Hopkins University
David Kinderlehrer
David Kinderlehrer Carnegie Mellon University
Srinivasa Varadhan
Srinivasa Varadhan Courant Institute of Mathematical Sciences
Ivar Ekeland
Ivar Ekeland University of British Columbia
Robert V. Kohn
Robert V. Kohn Courant Institute of Mathematical Sciences
Samuel Karlin
Samuel Karlin Stanford University

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