Vieri Benci

7.7k citations
137 papers · 5.0k · 2 hit papers · h-index 33

Impact in

    • Nonlinear Partial Differential Equations
    • Nonlinear Differential Equations Analysis
    • Geometric Analysis and Curvature Flows
    • Advanced Mathematical Physics Problems
    • Spectral Theory in Mathematical Physics

Papers in

    • Advanced Mathematical Physics Problems 37
    • Mathematical and Theoretical Analysis 19
    • Nonlinear Partial Differential Equations 42
    • Geometric Analysis and Curvature Flows 19

Vieri Benci

133 papers receiving 4.4k citations

Vieri Benci's Hit Papers

An eigenvalue problem for the Schrödinger-Maxwell equations 1998 · 492 citations
4920+14+28Years since publication100200300400500

Peers

Vieri Benci
Comparison fields: 5 of 78
  • Applied Mathematics 3.9k
  • Mathematical Physics 2.3k
  • Computational Theory and Mathematics 2.8k
  • Numerical Analysis 548
  • Geometry and Topology 444
Replace E. M. Stein with:
E. M. Stein United States
Michel Willem Belgium
Richard S. Palais United States
Donato Fortunato Italy
F. W. Warner United States
Karen Uhlenbeck United States
Michaël Struwe Switzerland
Adam Korányi United States
Manuel del Pino Chile
M. S. Ramanujan United States
Vieri Benci relative to E. M. Stein United States E. M. Stein's profile →
Citations per field
00.5×2.9×
E. M. Stein · 1×
Citations per year

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-authors

The 25 scholars most cited alongside Vieri Benci, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Vieri Benci Line = papers co-authored together Vieri Benci links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 137 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
Hit paper breakdown →
1983599
2
An eigenvalue problem for the Schrödinger-Maxwell equations
Hit paper breakdown →
1998492
3 2002304
4 1979298
5 1982208
6 1987207
7 1991186
8 2000181
9 1990181
10 1994176
11 199874
12 199165
13 199964
14 200457
15 199154
16 198152
17 200348
18 201246
19 200246
20 198643

About Vieri Benci

Vieri Benci is a scholar working on Mathematical Physics, Applied Mathematics, Computational Theory and Mathematics, Statistical and Nonlinear Physics and Geometry and Topology, having authored 137 papers that have together received 5.0k indexed citations. Recurring topics across this work include Nonlinear Partial Differential Equations (42 papers), Advanced Mathematical Physics Problems (37 papers), Advanced Mathematical Modeling in Engineering (34 papers), Nonlinear Waves and Solitons (22 papers), Geometric Analysis and Curvature Flows (19 papers), Mathematical and Theoretical Analysis (19 papers), Nonlinear Photonic Systems (15 papers) and Computability, Logic, AI Algorithms (12 papers). The work is most often cited by research in Applied Mathematics (3.9k citations), Mathematical Physics (2.3k citations), Computational Theory and Mathematics (2.8k citations), Numerical Analysis (548 citations) and Geometry and Topology (444 citations). Vieri Benci has collaborated with scholars based in Italy, United States and Saudi Arabia. Frequent 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 Marino Badiale. Their work appears in journals such as Nonlinear Analysis, Journal of Differential Equations, Topological Methods in Nonlinear Analysis, Archive for Rational Mechanics and Analysis and Annales de l Institut Henri Poincaré C Analyse Non Linéaire.

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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