World's Best Scientists 2026 revealed!
Nicola Garofalo

Nicola Garofalo

D-Index & Metrics

Mathematics

D-Index
46
Citations
7699
World Ranking
1373
National Ranking
36

Nicola Garofalo 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 Nicola Garofalo sits on this spectrum.

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 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 163 publications — 45th percentile

45% of scientists in this discipline score the same or lower.

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

Nicola Garofalo 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 Nicola Garofalo sits on this spectrum.

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: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

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

Overview

Nicola Garofalo is affiliated with the University of Padua in Italy and specializes mainly in the field of Mathematics. Their research emphasizes applied mathematics, mathematical physics, and computational theory, with additional interests extending to astronomy and astrophysics as well as genetics.

The primary topics addressed in Garofalo's body of work include:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Numerical Methods in Inverse Problems
  • Geometric Analysis and Curvature Flows
  • Differential Equations and Boundary Problems
  • Advanced Harmonic Analysis Research
  • Advanced Mathematical Physics Problems

Garofalo's research output is heavily represented in several key publication venues, including:

  • arXiv (Cornell University)
  • Institutional Research Information System University of Ferrara (University of Ferrara)
  • Padua Research Archive (University of Padua)
  • Journal of Functional Analysis
  • Proceedings of the American Mathematical Society

Recent papers published by Nicola Garofalo feature investigations into aspects of partial differential equations and hypoelliptic semigroups. Notable recent publications are:

  • "Nonlocal isoperimetric inequalities for Kolmogorov-Fokker-Planck operators" (2020), Institutional Research Information System University of Ferrara (University of Ferrara)
  • "Hardy-Littlewood-Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups" (2022), Institutional Research Information System University of Ferrara (University of Ferrara)
  • "Feeling the heat in a group of Heisenberg type" (2021), Advances in Mathematics
  • "A Bourgain-Brezis-Mironescu-Dávila theorem in Carnot groups of step two" (2023), Communications in Analysis and Geometry
  • "Heat Kernels for a Class of Hybrid Evolution Equations" (2022), Potential Analysis

Collaboration is a significant element in Garofalo's research career, with frequent co-authors including:

  • Agnid Banerjee
  • Giulio Tralli
  • Federico Buseghin
  • Ramesh Manna
  • Donatella Danielli

Overall, Garofalo's scientific contributions lie in advancing the understanding of mathematical structures in applied mathematics and physics through analytical techniques, computational approaches, and theoretical exploration.

Best Publications

  • Isoperimetric and Sobolev inequalities for Carnot-Carathéodory spaces and the existence of minimal surfaces

    Nicola Garofalo;Duy Minh Nhieu

  • Unique continuation for elliptic operators: A geometric‐variational approach

    Nicola Garofalo;Fang‐Hua ‐H Lin

  • Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation

    Nicola Garofalo;Ermanno Lanconelli

  • An embedding theorem and the harnack inequality for nonlinear subelliptic equations

    Luca Capogna;Donatella Danielli;Nicola Garofalo

  • Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries

    Fabrice Baudoin;Nicola Garofalo

  • The geometric Sobolev embedding for vector fields and the isoperimetric inequality

    Luca Capogna;Donatella Danielli;Nicola Garofalo

  • Existence and nonexistence results for semilinear equations on the Heisenberg group

    N. Garofalo;E. Lanconelli

  • Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces

    Nicola Garofalo;Duy Minh Nhieu

  • Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem

    Nicola Garofalo;Arshak Petrosyan

  • A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations

    Eugene B. Fabes;Nicola Garofalo;Sandro Salsa

  • HARNACK'S INEQUALITY FOR SUM OF SQUARES OF VECTOR FIELDS PLUS A POTENTIAL

    Giovanna Citti;Nicola Garofalo;Ermanno Lanconelli

  • A gradient bound for entire solutions of quasi‐linear equations and its consequences

    Luis Caffarelli;Nicola Garofalo;Fausto Segala

  • CAPACITARY ESTIMATES AND THE LOCAL BEHAVIOR OF SOLUTIONS OF NONLINEAR SUBELLIPTIC EQUATIONS

    Luca Capogna;Donatella Danielli;Nicola Garofalo

  • Notions of Convexity in Carnot Groups

    Donatella Danielli;Nicola Garofalo;Nicola Garofalo;Duy Minh Nhieu

  • Harnack’s inequality for Schrödinger operators and the continuity of solutions

    F. Chiarenza;E. Fabes;N. Garofalo

  • Sub-Riemannian calculus on hypersurfaces in Carnot groups

    Donatella Danielli;Nicola Garofalo;Duy-Minh Nhieu

  • A symmetry result related to some overdetermined boundary value problems

    Nicola Garofalo;John L. Lewis

  • Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type

    Nicola Garofalo;Dimiter Vassilev

  • Regularity near the characteristic set in the non-linear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups

    Nicola Garofalo;Dimiter Vassilev

  • Trace inequalities for Carnot-Carathéodory spaces and applications

    Donatella Danielli;Nicola Garofalo;Duy-Minh Nhieu

Frequent Co-Authors

Eugene B. Fabes
Eugene B. Fabes University of Minnesota
Ermanno Lanconelli
Ermanno Lanconelli University of Bologna
Fanghua Lin
Fanghua Lin Courant Institute of Mathematical Sciences
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Michael Ruzhansky
Michael Ruzhansky Ghent University
Giovanni Alessandrini
Giovanni Alessandrini University of Trieste

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