Vieri Benci

7.6k total citations · 2 hit papers
137 papers, 4.9k citations indexed

About

Vieri Benci is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Vieri Benci has authored 137 papers receiving a total of 4.9k indexed citations (citations by other indexed papers that have themselves been cited), including 79 papers in Mathematical Physics, 63 papers in Applied Mathematics and 48 papers in Computational Theory and Mathematics. Recurrent topics in Vieri Benci's work include Nonlinear Partial Differential Equations (42 papers), Advanced Mathematical Physics Problems (37 papers) and Advanced Mathematical Modeling in Engineering (34 papers). Vieri Benci is often cited by papers focused on Nonlinear Partial Differential Equations (42 papers), Advanced Mathematical Physics Problems (37 papers) and Advanced Mathematical Modeling in Engineering (34 papers). Vieri Benci collaborates with scholars based in Italy, United States and Saudi Arabia. Vieri Benci's co-authors include Donato Fortunato, Giovanna Cerami, Paul H. Rabinowitz, Fabio Giannoni, Lorenzo Pisani, Anna Maria Micheletti, Mauro Di Nasso, Pietro d’Avenia, Teresa D’Aprile and Sylvia Wenmackers and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Theoretical Biology and Communications in Mathematical Physics.

In The Last Decade

Vieri Benci

133 papers receiving 4.4k citations

Hit Papers

Abstract critical point theorems and applications to some... 1983 2026 1997 2011 1983 1998 100 200 300 400 500

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Vieri Benci Italy 33 3.9k 2.8k 2.2k 566 549 137 4.9k
Michaël Struwe Switzerland 38 5.3k 1.4× 3.2k 1.2× 2.8k 1.2× 465 0.8× 356 0.6× 103 6.2k
Donato Fortunato Italy 24 2.7k 0.7× 1.9k 0.7× 1.4k 0.6× 318 0.6× 341 0.6× 77 3.2k
Antonio Ambrosetti Italy 40 8.3k 2.1× 5.8k 2.1× 4.0k 1.8× 786 1.4× 1.3k 2.4× 106 9.6k
Michel Willem Belgium 31 6.8k 1.8× 4.4k 1.6× 3.1k 1.4× 542 1.0× 1.1k 2.1× 69 7.6k
Susanna Terracini Italy 27 1.6k 0.4× 1.1k 0.4× 1.2k 0.5× 424 0.7× 259 0.5× 116 2.5k
Manuel del Pino Chile 39 5.2k 1.3× 3.6k 1.3× 2.7k 1.2× 356 0.6× 998 1.8× 177 6.1k
E. M. Stein United States 42 7.4k 1.9× 945 0.3× 4.5k 2.0× 214 0.4× 478 0.9× 94 8.6k
Enrico Valdinoci Italy 35 7.2k 1.9× 5.4k 2.0× 3.0k 1.3× 244 0.4× 538 1.0× 219 8.2k
Christopher D. Sogge United States 32 2.5k 0.7× 581 0.2× 3.1k 1.4× 478 0.8× 138 0.3× 100 3.8k
P. Rabinowitz Israel 13 2.9k 0.7× 1.8k 0.6× 949 0.4× 266 0.5× 734 1.3× 30 3.5k

Countries citing papers authored by Vieri Benci

Since Specialization
Citations

This map shows the geographic impact of Vieri Benci'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 Vieri Benci with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Vieri Benci more than expected).

Fields of papers citing papers by Vieri Benci

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Vieri Benci. 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 Vieri Benci. The network helps show where Vieri Benci may publish in the future.

Co-authorship network of co-authors of Vieri Benci

This figure shows the co-authorship network connecting the top 25 collaborators of Vieri Benci. A scholar is included among the top collaborators of Vieri Benci based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Vieri Benci. Vieri Benci is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Benci, Vieri, et al.. (2015). Probability Theory - Some applications of numerosities in measure theory. CINECA IRIS Institutial research information system (University of Pisa). 3 indexed citations
2.
Benci, Vieri & Donato Fortunato. (2014). Solitons in Schroedinger-Maxwell Equations. CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro). 16 indexed citations
3.
Benci, Vieri, et al.. (2014). Ultrafunctions and applications. CINECA IRIS Institutial research information system (University of Pisa). 7 indexed citations
4.
Benci, Vieri & Donato Fortunato. (2010). Hylomorphic solitons on lattices.. CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro). 7 indexed citations
5.
Benci, Vieri, et al.. (2007). An Euclidean measure of size for mathematical universes. Logique et analyse/Logique et analyse. Nouvelle série. 50. 43–62. 8 indexed citations
6.
Benci, Vieri, Claudio Bonanno, & Anna Maria Micheletti. (2007). On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds. Journal of Functional Analysis. 252(2). 464–489. 36 indexed citations
7.
Bellazzini, Jacopo, Vieri Benci, & Marco Ghimenti. (2006). Periodic orbits of a one-dimensional non-autonomous Hamiltonian system. Journal of Differential Equations. 230(1). 275–294. 1 indexed citations
8.
Benci, Vieri & Anna Maria Micheletti. (2006). Solutions in Exterior Domains of Null Mass Nonlinear Field Equations. Advanced Nonlinear Studies. 6(2). 171–198. 15 indexed citations
9.
Benci, Vieri & Mauro Di Nasso. (2005). A purely algebraic characterization of the hyperreal numbers. Proceedings of the American Mathematical Society. 133(9). 2501–2505. 6 indexed citations
10.
Benci, Vieri, et al.. (2004). Nonlinear analysis and applications to physical sciences. Springer eBooks. 19 indexed citations
11.
Benci, Vieri & Nicola Visciglia. (2003). Solitary Waves with Non-Vanishing Angular Momentum. Advanced Nonlinear Studies. 3(1). 151–160. 17 indexed citations
12.
Benci, Vieri, et al.. (2002). Variational and Topological Methods in the Study of Nonlinear Phenomena. Birkhäuser Boston eBooks. 19 indexed citations
13.
Benci, Vieri, et al.. (2002). An Eigenvalue Problem for a Quasilinear Elliptic Field Equation. Journal of Differential Equations. 184(2). 299–320. 34 indexed citations
14.
Benci, Vieri & Lodovico Galleni. (1998). Stability and Instability in Evolution. Journal of Theoretical Biology. 194(4). 541–549. 2 indexed citations
15.
Benci, Vieri, Donato Fortunato, & Fabio Giannoni. (1992). On the existence of geodesics in static Lorentz manifolds with singular boundary. French digital mathematics library (Numdam). 19(2). 255–289. 17 indexed citations
16.
Benci, Vieri & Fabio Giannoni. (1992). Morse Theory for functionals of class C^1. Unicam Scientific Publications (University of Camerino). 315(8). 883–888. 5 indexed citations
17.
Benci, Vieri. (1986). Periodic solutions of Lagrangian systems on a compact manifold. Journal of Differential Equations. 63(2). 135–161. 42 indexed citations
18.
Benci, Vieri. (1979). On the spectrum of some differential and pseudodifferential operators. Journal of Differential Equations. 31(1). 16–30. 1 indexed citations
19.
Benci, Vieri & Donato Fortunato. (1978). Discreteness conditions of the spectrum of Schrödinger operators. Journal of Mathematical Analysis and Applications. 64(3). 695–700. 30 indexed citations
20.
Benci, Vieri. (1977). Positive solutions of some eigenvalue problems in the theory of variational inequalities. Journal of Mathematical Analysis and Applications. 61(1). 165–187. 15 indexed citations

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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