Davide Vittone

703 total citations
24 papers, 304 citations indexed

About

Davide Vittone is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Davide Vittone has authored 24 papers receiving a total of 304 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Applied Mathematics, 12 papers in Geometry and Topology and 7 papers in Mathematical Physics. Recurrent topics in Davide Vittone's work include Geometric Analysis and Curvature Flows (21 papers), Nonlinear Partial Differential Equations (6 papers) and Advanced Numerical Analysis Techniques (5 papers). Davide Vittone is often cited by papers focused on Geometric Analysis and Curvature Flows (21 papers), Nonlinear Partial Differential Equations (6 papers) and Advanced Numerical Analysis Techniques (5 papers). Davide Vittone collaborates with scholars based in Italy, Finland and Switzerland. Davide Vittone's co-authors include Francesco Serra Cassano, Luigi Ambrosio, Roberto Monti, Valentino Magnani, Michele Miranda, Enrico Le Donne, Gian Paolo Leonardi, Jeremy T. Tyson, Antonio Marigonda and Juan J. Manfredi and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Functional Analysis.

In The Last Decade

Davide Vittone

23 papers receiving 277 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Davide Vittone Italy 10 292 140 71 67 64 24 304
Roberto Monti Italy 14 460 1.6× 183 1.3× 130 1.8× 136 2.0× 59 0.9× 39 485
Enrico Le Donne Finland 12 280 1.0× 169 1.2× 126 1.8× 25 0.4× 92 1.4× 47 338
Valentino Magnani Italy 12 349 1.2× 199 1.4× 104 1.5× 61 0.9× 64 1.0× 41 373
Jih-Hsin Cheng Taiwan 10 310 1.1× 188 1.3× 60 0.8× 47 0.7× 84 1.3× 29 329
James J. Hebda United States 9 196 0.7× 198 1.4× 116 1.6× 34 0.5× 51 0.8× 32 291
Daniele Morbidelli Italy 11 250 0.9× 63 0.5× 96 1.4× 107 1.6× 15 0.2× 27 272
Séverine Rigot France 7 156 0.5× 77 0.6× 43 0.6× 37 0.6× 31 0.5× 16 173
Anton Petrunin United States 10 267 0.9× 221 1.6× 69 1.0× 39 0.6× 75 1.2× 36 308
Dong-Ho Tsai Taiwan 11 240 0.8× 135 1.0× 69 1.0× 39 0.6× 29 0.5× 37 261
М. Б. Карманова Russia 10 365 1.3× 203 1.4× 72 1.0× 45 0.7× 118 1.8× 80 381

Countries citing papers authored by Davide Vittone

Since Specialization
Citations

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

Fields of papers citing papers by Davide Vittone

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Davide Vittone

This figure shows the co-authorship network connecting the top 25 collaborators of Davide Vittone. A scholar is included among the top collaborators of Davide Vittone 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 Davide Vittone. Davide Vittone 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.
Vittone, Davide, et al.. (2022). The Sard problem in step 2 and in filiform Carnot groups,. ESAIM Control Optimisation and Calculus of Variations. 28. 75–75.
2.
Vittone, Davide, et al.. (2022). Area of intrinsic graphs and coarea formula in Carnot groups. Mathematische Zeitschrift. 301(2). 1369–1406. 9 indexed citations
3.
Vittone, Davide, et al.. (2020). A dynamical approach to the Sard problem in Carnot groups. Padua Research Archive (University of Padova). 2 indexed citations
4.
Vittone, Davide, et al.. (2019). Fine properties of functions with bounded variation in Carnot-Carathéodory spaces. Journal of Mathematical Analysis and Applications. 479(1). 482–530. 3 indexed citations
5.
Vittone, Davide, et al.. (2019). A compactness result for BV functions in metric spaces. Annales Academiae Scientiarum Fennicae Mathematica. 44(1). 329–339. 3 indexed citations
6.
Monti, Roberto, et al.. (2018). On tangent cones to length minimizers in Carnot-Caratheodory spaces. Research Padua Archive (University of Padua). 9 indexed citations
7.
Vittone, Davide, et al.. (2018). Rank-one theorem and subgraphs of BV functions in Carnot groups. Journal of Functional Analysis. 276(3). 687–715. 8 indexed citations
8.
Monti, Roberto, et al.. (2018). Existence of tangent lines to Carnot-Caratheodory geodesics. Padua Research Archive (University of Padova). 6 indexed citations
9.
Donne, Enrico Le, Gian Paolo Leonardi, Roberto Monti, & Davide Vittone. (2015). Corners in non-equiregular sub-Riemannian manifolds. Institutional Research Information System (Università degli Studi di Trento). 3 indexed citations
10.
Magnani, Valentino, Jeremy T. Tyson, & Davide Vittone. (2015). On transversal submanifolds and their measure. Journal d Analyse Mathématique. 125(1). 319–351. 5 indexed citations
11.
Cassano, Francesco Serra & Davide Vittone. (2013). Graphs of bounded variation, existence and local boundedness of non-parametric minimal surfaces in Heisenberg groups. Advances in Calculus of Variations. 7(4). 409–492. 15 indexed citations
12.
Donne, Enrico Le, Gian Paolo Leonardi, Roberto Monti, & Davide Vittone. (2013). Extremal Curves in Nilpotent Lie Groups. Institutional Research Information System (Università degli Studi di Trento). 15 indexed citations
13.
Marigonda, Antonio, Khai T. Nguyen, & Davide Vittone. (2013). Some regularity results for a class of upper semicontinuous functions. Indiana University Mathematics Journal. 62(1). 45–89. 5 indexed citations
14.
Vittone, Davide. (2012). Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathéodory spaces. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 939–998. 11 indexed citations
15.
Monti, Roberto & Davide Vittone. (2010). Sets with finite $${\mathbb H}$$ -perimeter and controlled normal. Mathematische Zeitschrift. 270(1-2). 351–367. 13 indexed citations
16.
Vittone, Davide, et al.. (2010). Some remarks about parametrizations of intrinsic regular surfaces in the Heisenberg group. Publicacions Matemàtiques. 54. 159–172. 6 indexed citations
17.
Miranda, Michele, et al.. (2009). Some Isoperimetric Problems in Planes with Density. Journal of Geometric Analysis. 20(2). 243–290. 28 indexed citations
18.
Monti, Roberto, Francesco Serra Cassano, & Davide Vittone. (2008). A negative answer to the Bernstein problem for the Intrinsic Graphs in the Heisenberg Group. Institutional Research Information System (Università degli Studi di Trento). 1(3). 709–728. 13 indexed citations
19.
Magnani, Valentino & Davide Vittone. (2008). An intrinsic measure for submanifolds in stratified groups. Journal für die reine und angewandte Mathematik (Crelles Journal). 2008(619). 23 indexed citations
20.
Cassano, Francesco Serra, et al.. (2007). The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations. Calculus of Variations and Partial Differential Equations. 30(1). 17–49. 40 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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