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Mathematics

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

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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