World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
9293
World Ranking
1765
National Ranking
48

Vieri Benci 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 Vieri Benci 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: 197 publications — 61st percentile

61% of scientists in this discipline score the same or lower.

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

Vieri Benci 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 Vieri Benci 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: 42 D-Index — 51st percentile

51% of scientists in this discipline score the same or lower.

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

Overview

Vieri Benci is affiliated with the University of Pisa in Italy and has contributed extensively to the fields of Mathematics and Computer Science. Their research spans various subfields including Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, Materials Chemistry, and Statistical and Nonlinear Physics.

The main topics covered in Benci's research include:

  • Mathematical and Theoretical Analysis
  • Advanced Mathematical Modeling in Engineering
  • Solidification and crystal growth phenomena
  • Numerical Methods and Algorithms
  • Computability, Logic, AI Algorithms
  • Advanced mathematical theories
  • Nonlinear Partial Differential Equations

Benci has published research in several academic venues, with a focus on both preprints and peer-reviewed journals. Frequent publication venues include:

  • arXiv (Cornell University)
  • Nonlinear Analysis
  • Discrete and Continuous Dynamical Systems - S
  • Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)
  • International Journal of Applied Mathematics and Computer Science

Among the notable recent papers authored by Benci are:

  • Lusternik-Schnirelman and Morse Theory for the Van der Waals-Cahn-Hilliard equation with volume constraint, 2022, Nonlinear Analysis
  • Retraction: The algorithmic numbers in non-archimedean numerical computing environments "The status of this article has been Retraction: Discrete and Continuous Dynamical Systems - S, 18 (2025), 2063-2063", 2020, Discrete and Continuous Dynamical Systems - S
  • Generalized solutions of variational problems and applications, 2020, Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)
  • Non-standard analysis revisited: An easy axiomatic presentation oriented towards numerical applications, 2022, International Journal of Applied Mathematics and Computer Science
  • Lusternik-Schnirelman and Morse theory for the Van der Waals-Cahn-Hilliard equation with volume constraint, 2020, arXiv (Cornell University)

Benci frequently collaborates with a group of researchers including Stefano Nardulli, Luis Eduardo Osorio Acevedo, Paolo Piccione, Lorenzo Luperi Baglini, and Marco Cococcioni. These coauthors have appeared in several joint publications, contributing to shared research interests.

Best Publications

  • Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity

    P. Bartolo;V. Benci;D. Fortunato

  • An eigenvalue problem for the Schrödinger-Maxwell equations

    Vieri Benci;Donato Fortunato

  • Critical point theorems for indefinite functionals

    Vieri Benci;Paul H. Rabinowitz

  • SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS

    Vieri Benci;Donato Fortunato Fortunato

  • On critical point theory for indefinite functionals in the presence of symmetries

    Vieri Benci

  • Positive solutions of some nonlinear elliptic problems in exterior domains

    Vieri Benci;Giovanna Cerami

  • The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems

    Vieri Benci;Giovanna Cerami

  • Solitons in Several Space Dimensions:¶Derrick's Problem and¶Infinitely Many Solutions

    Vieri Benci;Pietro D'Avenia;Donato Fortunato;Lorenzo Pisani

  • Existence of positive solutions of the equation −Δu + a(x)u = u(N + 2)(N − 2) in RN

    Vieri Benci;Giovanna Cerami

  • Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology

    Vieri Benci;Giovanna Cerami

  • Soliton Like Solutions of a Lorentz Invariant Equation in Dimension 3

    Vieri Benci;Donato Fortunato;Lorenzo Pisani

  • A geometrical index for the group S1 and some applications to the study of periodic solutions of ordinary differential equations

    Vieri Benci

  • Numerosities of labelled sets: a new way of counting

    Vieri Benci;Mauro Di Nasso

  • A new approach to the Morse-Conley theory and some applications

    Vieri Benci

  • Solitons and the electromagnetic field

    V. Benci;D. Fortunato;A. Masiello;L. Pisani

  • Non-Archimedean Probability

    Vieri Benci;Leon Horsten;Sylvia Wenmackers

  • Towards a Unified Field Theory for Classical Electrodynamics

    Vieri Benci;Donato Fortunato

  • On the existence of multiple geodesics in static space-times

    V. Benci;D. Fortunato;Fabio Giannoni

  • Periodic solutions of Lagrangian systems on a compact manifold

    Vieri Benci;Vieri Benci

  • Existence and non existence of the ground state solution for the nonlinear Schroedinger equations with $V(\infty)=0$

    Vieri Benci;Carlo Romano Grisanti;Anna Maria Micheletti

Frequent Co-Authors

Paul H. Rabinowitz
Paul H. Rabinowitz University of Wisconsin–Madison
Filippo Gazzola
Filippo Gazzola Polytechnic University of Milan
Marco Squassina
Marco Squassina Catholic University of the Sacred Heart
Helmut Hofer
Helmut Hofer Institute for Advanced Study

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